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454642625416 = 2371743103107827
BaseRepresentation
bin1101001110110101100…
…11111110101110001000
31121110111211022100102011
412213122303332232020
524422102003003131
6544505425145304
744563316360560
oct6473263765610
91543454270364
10454642625416
111658a3a00661
1274142a8b234
1333b461a0ba5
141800d327da0
15bc5db510b1
hex69dacfeb88

454642625416 has 128 divisors (see below), whose sum is σ = 1065789204480. Its totient is φ = 177379808256.

The previous prime is 454642625363. The next prime is 454642625417. The reversal of 454642625416 is 614526246454.

It is a self number, because there is not a number n which added to its sum of digits gives 454642625416.

It is not an unprimeable number, because it can be changed into a prime (454642625417) 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, 4162495 + ... + 4270321.

It is an arithmetic number, because the mean of its divisors is an integer number (8326478160).

Almost surely, 2454642625416 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 454642625416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532894602240).

454642625416 is an abundant number, since it is smaller than the sum of its proper divisors (611146579064).

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

454642625416 is a wasteful number, since it uses less digits than its factorization.

454642625416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108003 (or 107999 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 49.

The spelling of 454642625416 in words is "four hundred fifty-four billion, six hundred forty-two million, six hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 103 119 136 172 206 238 301 344 412 476 602 721 731 824 952 1204 1442 1462 1751 2408 2884 2924 3502 4429 5117 5768 5848 7004 8858 10234 12257 14008 17716 20468 24514 31003 35432 40936 49028 62006 75293 98056 107827 124012 150586 215654 248024 301172 431308 527051 602344 754789 862616 1054102 1509578 1833059 2108204 3019156 3666118 4216408 4636561 6038312 7332236 9273122 11106181 12831413 14664472 18546244 22212362 25662826 32455927 37092488 44424724 51325652 64911854 77743267 78821537 88849448 102651304 129823708 155486534 157643074 188805077 259647416 310973068 315286148 377610154 477565783 551750759 621946136 630572296 755220308 955131566 1103501518 1321635539 1510440616 1910263132 2207003036 2643271078 3342960481 3820526264 4414006072 5286542156 6685920962 8118618311 10573084312 13371841924 16237236622 26743683848 32474473244 56830328177 64948946488 113660656354 227321312708 454642625416