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380991207161640 = 233529552119829783
BaseRepresentation
bin101011010100000100110110…
…1100100001011111100101000
31211221222101220021221120022010
41112220021231210023330220
5344414124443013133030
63430144535550155520
7143151464165511255
oct12650115544137450
91757871807846263
10380991207161640
11100439511027999
12368927944b2ba0
131347841697651a
146a12103b4642c
152e0a6c7b036b0
hex15a826d90bf28

380991207161640 has 128 divisors (see below), whose sum is σ = 1182600726278400. Its totient is φ = 98076515389440.

The previous prime is 380991207161597. The next prime is 380991207161641. The reversal of 380991207161640 is 46161702199083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (380991207161641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9298189 + ... + 29127971.

It is an arithmetic number, because the mean of its divisors is an integer number (9239068174050).

Almost surely, 2380991207161640 is an apocalyptic number.

380991207161640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380991207161640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591300363139200).

380991207161640 is an abundant number, since it is smaller than the sum of its proper divisors (801609519116760).

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

380991207161640 is a wasteful number, since it uses less digits than its factorization.

380991207161640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19835347 (or 19835343 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 380991207161640 in words is "three hundred eighty trillion, nine hundred ninety-one billion, two hundred seven million, one hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 5521 11042 16563 22084 27605 33126 44168 55210 66252 82815 110420 132504 160109 165630 220840 320218 331260 480327 640436 662520 800545 960654 1280872 1601090 1921308 2401635 3202180 3842616 4803270 6404360 9606540 19213080 19829783 39659566 59489349 79319132 99148915 118978698 158638264 198297830 237957396 297446745 396595660 475914792 575063707 594893490 793191320 1150127414 1189786980 1725191121 2300254828 2379573960 2875318535 3450382242 4600509656 5750637070 6900764484 8625955605 11501274140 13801528968 17251911210 23002548280 34503822420 69007644840 109480231943 218960463886 328440695829 437920927772 547401159715 656881391658 875841855544 1094802319430 1313762783316 1642203479145 2189604638860 2627525566632 3174926726347 3284406958290 4379209277720 6349853452694 6568813916580 9524780179041 12699706905388 13137627833160 15874633631735 19049560358082 25399413810776 31749267263470 38099120716164 47623900895205 63498534526940 76198241432328 95247801790410 126997069053880 190495603580820 380991207161640