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428102355363232 = 251137143922842437
BaseRepresentation
bin110000101010110110101100…
…0110100011010010110100000
32002010210012000012210012211211
41201111231120310122112200
5422103012110433110412
64114255301303515504
7156113242311136264
oct14125553064322640
92063705005705754
10428102355363232
11114452209aa7250
1240021130758b94
13154b4b56bc2b14
1477a039bd260a4
153475dd0d1eca7
hex1855b58d1a5a0

428102355363232 has 96 divisors (see below), whose sum is σ = 944953284764160. Its totient is φ = 189201156295680.

The previous prime is 428102355363143. The next prime is 428102355363251. The reversal of 428102355363232 is 232363553201824.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7320318 + ... + 30162754.

It is an arithmetic number, because the mean of its divisors is an integer number (9843263382960).

Almost surely, 2428102355363232 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 428102355363232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472476642382080).

428102355363232 is an abundant number, since it is smaller than the sum of its proper divisors (516850929400928).

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

428102355363232 is a wasteful number, since it uses less digits than its factorization.

428102355363232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22843934 (or 22843926 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 428102355363232 in words is "four hundred twenty-eight trillion, one hundred two billion, three hundred fifty-five million, three hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1439 1628 2878 3256 5756 6512 11512 13024 15829 23024 31658 46048 53243 63316 106486 126632 212972 253264 425944 506528 585673 851888 1171346 1703776 2342692 4685384 9370768 18741536 22842437 45684874 91369748 182739496 251266807 365478992 502533614 730957984 845170169 1005067228 1690340338 2010134456 3380680676 4020268912 6761361352 8040537824 9296871859 13522722704 18593743718 27045445408 32870266843 37187487436 65740533686 74374974872 131481067372 148749949744 262962134744 297499899488 361572935273 525924269488 723145870546 1051848538976 1216199873191 1446291741092 2432399746382 2892583482184 4864799492764 5785166964368 9729598985528 11570333928736 13378198605101 19459197971056 26756397210202 38918395942112 53512794420404 107025588840808 214051177681616 428102355363232