Search a number
-
+
463172336623216 = 2411431672111736851
BaseRepresentation
bin110100101010000001011011…
…0100110000001111001110000
32020201221211202111200110011001
41221110002312212001321300
5441202103421133420331
64321030233424531344
7166363045165306663
oct15124026646017160
92221854674613131
10463172336623216
11124643315167210
1243b45a9a480b54
1316b59c6b9abbac
148253936d936da
153883296e78561
hex1a540b6981e70

463172336623216 has 160 divisors (see below), whose sum is σ = 1012519910578176. Its totient is φ = 203436545760000.

The previous prime is 463172336623163. The next prime is 463172336623247. The reversal of 463172336623216 is 612326633271364.

It is a super-2 number, since 2×4631723366232162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265805191 + ... + 267542041.

Almost surely, 2463172336623216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463172336623216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506259955289088).

463172336623216 is an abundant number, since it is smaller than the sum of its proper divisors (549347573954960).

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

463172336623216 is a wasteful number, since it uses less digits than its factorization.

463172336623216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737291 (or 1737285 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 55.

The spelling of 463172336623216 in words is "four hundred sixty-three trillion, one hundred seventy-two billion, three hundred thirty-six million, six hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 167 172 176 211 334 344 422 473 668 688 844 946 1336 1688 1837 1892 2321 2672 3376 3674 3784 4642 7181 7348 7568 9073 9284 14362 14696 18146 18568 28724 29392 35237 36292 37136 57448 70474 72584 78991 99803 114896 140948 145168 157982 199606 281896 315964 387607 399212 563792 631928 775214 798424 1263856 1515191 1550428 1596848 1736851 3030382 3100856 3473702 6060764 6201712 6947404 12121528 13894808 16667101 19105361 24243056 27789616 33334202 38210722 66668404 74684593 76421444 133336808 149369186 152842888 266673616 290054117 298738372 305685776 366475561 580108234 597476744 732951122 821530523 1160216468 1194953488 1465902244 1643061046 2320432936 2931804488 3190595287 3286122092 4031231171 4640865872 5863608976 6381190574 6572244184 8062462342 12472327031 12762381148 13144488368 15758449123 16124924684 24944654062 25524762296 31516898246 32249849368 49889308124 51049524592 61201418687 63033796492 64499698736 99778616248 122402837374 126067592984 137195597341 173342940353 199557232496 244805674748 252135185968 274391194682 346685880706 489611349496 548782389364 673215605557 693371761412 979222698992 1097564778728 1346431211114 1386743522824 2195129557456 2631661003541 2692862422228 2773487045648 5263322007082 5385724844456 10526644014164 10771449688912 21053288028328 28948271038951 42106576056656 57896542077902 115793084155804 231586168311608 463172336623216