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55638803412 = 223229149357677
BaseRepresentation
bin110011110100010101…
…001100001111010100
312022121120020001201200
4303310111030033110
51402422013202122
641320552352500
74006532011563
oct636425141724
9168546201650
1055638803412
1121661721565
12a9493a5730
1353290621aa
14299b599bda
1516a99315ac
hexcf454c3d4

55638803412 has 72 divisors (see below), whose sum is σ = 146469141000. Its totient is φ = 17786512128.

The previous prime is 55638803351. The next prime is 55638803477. The reversal of 55638803412 is 21430883655.

55638803412 is a `hidden beast` number, since 5 + 5 + 638 + 8 + 0 + 3 + 4 + 1 + 2 = 666.

55638803412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39992976 + 55598810436 = 6324^2 + 235794^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23283 + ... + 334394.

It is an arithmetic number, because the mean of its divisors is an integer number (2034293625).

Almost surely, 255638803412 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 55638803412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73234570500).

55638803412 is an abundant number, since it is smaller than the sum of its proper divisors (90830337588).

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

55638803412 is a wasteful number, since it uses less digits than its factorization.

55638803412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357865 (or 357860 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55638803412 in words is "fifty-five billion, six hundred thirty-eight million, eight hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 149 174 261 298 348 447 522 596 894 1044 1341 1788 2682 4321 5364 8642 12963 17284 25926 38889 51852 77778 155556 357677 715354 1073031 1430708 2146062 3219093 4292124 6438186 10372633 12876372 20745266 31117899 41490532 53293873 62235798 93353697 106587746 124471596 159881619 186707394 213175492 319763238 373414788 479644857 639526476 959289714 1545522317 1918579428 3091044634 4636566951 6182089268 9273133902 13909700853 18546267804 27819401706 55638803412