Search a number
-
+
35360654613042 = 231141349206918097
BaseRepresentation
bin10000000101001000010110…
…10000011101101000110010
311122012110000211002111200010
420002210023100131220302
514113322110040104132
6203112243243435350
710306502661650403
oct1002441320355062
9148173024074603
1035360654613042
11102a3407751390
123b7116b825b56
131696659599b95
148a36716499aa
15414c29b166cc
hex20290b41da32

35360654613042 has 128 divisors (see below), whose sum is σ = 79301382048000. Its totient is φ = 10418431795200.

The previous prime is 35360654612993. The next prime is 35360654613047. The reversal of 35360654613042 is 24031645606353.

It is a junction number, because it is equal to n+sod(n) for n = 35360654612982 and 35360654613000.

It is not an unprimeable number, because it can be changed into a prime (35360654613047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953942138 + ... + 1953960234.

It is an arithmetic number, because the mean of its divisors is an integer number (619542047250).

Almost surely, 235360654613042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35360654613042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39650691024000).

35360654613042 is an abundant number, since it is smaller than the sum of its proper divisors (43940727434958).

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

35360654613042 is a wasteful number, since it uses less digits than its factorization.

35360654613042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 35360654613042 in words is "thirty-five trillion, three hundred sixty billion, six hundred fifty-four million, six hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 349 451 698 902 1047 1353 2069 2094 2706 3839 4138 6207 7678 11517 12414 14309 18097 22759 23034 28618 36194 42927 45518 54291 68277 84829 85854 108582 136554 157399 169658 199067 254487 314798 398134 472197 508974 597201 722081 741977 933119 944394 1194402 1444162 1483954 1866238 2166243 2225931 2799357 4332486 4451862 5598714 6315853 7942891 8161747 12631706 15885782 16323494 18947559 23828673 24485241 29605321 37442693 37895118 47657346 48970482 59210642 69474383 74885386 88815963 112328079 138948766 177631926 208423149 224656158 258949973 325658531 411869623 416846298 517899946 651317062 776849919 823739246 976975593 1235608869 1535150413 1553699838 1953951186 2471217738 2848449703 3070300826 4605451239 5696899406 8545349109 9210902478 13067499857 16886654543 17090698218 26134999714 33773309086 39202499571 50659963629 78404999142 101319927258 143742498427 287484996854 431227495281 535767494137 862454990562 1071534988274 1607302482411 3214604964822 5893442435507 11786884871014 17680327306521 35360654613042