Search a number
-
+
53411561606502 = 2341179541701299
BaseRepresentation
bin11000010010011110110010…
…01010000000110101100110
321000010002120120012101010000
430021033121022000311212
524000043334232402002
6305332533242242130
714151600200543631
oct1411173112006546
9230102516171100
1053411561606502
11160227970aa260
125ba7627ab6346
1323a58c4c60b98
14d291c1da4c18
15629555cc361c
hex3093d9280d66

53411561606502 has 160 divisors (see below), whose sum is σ = 132458851008000. Its totient is φ = 15950882750400.

The previous prime is 53411561606483. The next prime is 53411561606521. The reversal of 53411561606502 is 20560616511435.

53411561606502 is a `hidden beast` number, since 5 + 34 + 1 + 1 + 5 + 6 + 1 + 606 + 5 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (53411561606483) and next prime (53411561606521).

It is a super-3 number, since 3×534115616065023 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75810249 + ... + 76511547.

It is an arithmetic number, because the mean of its divisors is an integer number (827867818800).

Almost surely, 253411561606502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53411561606502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66229425504000).

53411561606502 is an abundant number, since it is smaller than the sum of its proper divisors (79047289401498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53411561606502 is a wasteful number, since it uses less digits than its factorization.

53411561606502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701944 (or 701935 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 53411561606502 in words is "fifty-three trillion, four hundred eleven billion, five hundred sixty-one million, six hundred six thousand, five hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 158 162 198 237 297 474 541 594 711 869 891 1082 1422 1623 1738 1782 2133 2607 3246 4266 4869 5214 5951 6399 7821 9738 11902 12798 14607 15642 17853 23463 29214 35706 42739 43821 46926 53559 70389 85478 87642 107118 128217 140778 160677 256434 321354 384651 470129 482031 701299 769302 940258 964062 1153953 1402598 1410387 2103897 2307906 2820774 3461859 4207794 4231161 6311691 6923718 7714289 8462322 12623382 12693483 15428578 18935073 23142867 25386966 37870146 38080449 46285734 55402621 56805219 69428601 76160898 110805242 113610438 138857202 166207863 208285803 332415726 379402759 416571606 498623589 609428831 624857409 758805518 997247178 1138208277 1218857662 1249714818 1495870767 1828286493 2276416554 2991741534 3414624831 3656572986 4173430349 4487612301 5484859479 6829249662 8346860698 8975224602 10243874493 10969718958 12520291047 16454578437 20487748986 25040582094 29972817961 30731623479 32909156874 37560873141 49363735311 59945635922 61463246958 75121746282 89918453883 98727470622 112682619423 179836907766 225365238846 269755361649 329700997571 338047858269 539510723298 659401995142 676095716538 809266084947 989102992713 1618532169894 1978205985426 2427798254841 2967308978139 4855596509682 5934617956278 8901926934417 17803853868834 26705780803251 53411561606502