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55125290448 = 24331720813607
BaseRepresentation
bin110011010101101110…
…010010110111010000
312021021202221220101000
4303111232102313100
51400344033243243
641154010142000
73661025144334
oct632556226720
9167252856330
1055125290448
1121418875688
12a825421900
135276858577
14294d2c77c4
1516797e95d3
hexcd5b92dd0

55125290448 has 160 divisors (see below), whose sum is σ = 167664625920. Its totient is φ = 17281105920.

The previous prime is 55125290447. The next prime is 55125290461. The reversal of 55125290448 is 84409252155.

55125290448 is a `hidden beast` number, since 5 + 512 + 5 + 2 + 90 + 4 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55125290447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15281061 + ... + 15284667.

It is an arithmetic number, because the mean of its divisors is an integer number (1047903912).

Almost surely, 255125290448 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 55125290448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83832312960).

55125290448 is an abundant number, since it is smaller than the sum of its proper divisors (112539335472).

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

55125290448 is a wasteful number, since it uses less digits than its factorization.

55125290448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 55125290448 in words is "fifty-five billion, one hundred twenty-five million, two hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2081 2448 3607 3672 4162 6243 7214 7344 8324 10821 12486 14428 16648 18729 21642 24972 28856 32463 33296 35377 37458 43284 49944 56187 57712 61319 64926 70754 74916 86568 97389 99888 106131 112374 122638 129852 141508 149832 173136 183957 194778 212262 224748 245276 259704 283016 299664 318393 367914 389556 424524 449496 490552 519408 551871 566032 636786 735828 779112 849048 898992 955179 981104 1103742 1273572 1471656 1558224 1655613 1698096 1910358 2207484 2547144 2943312 3311226 3820716 4414968 5094288 6622452 7506167 7641432 8829936 13244904 15012334 15282864 22518501 26489808 30024668 45037002 60049336 67555503 90074004 120098672 127604839 135111006 180148008 202666509 255209678 270222012 360296016 382814517 405333018 510419356 540444024 765629034 810666036 1020838712 1080888048 1148443551 1531258068 1621332072 2041677424 2296887102 3062516136 3242664144 3445330653 4593774204 6125032272 6890661306 9187548408 13781322612 18375096816 27562645224 55125290448