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5120603152456 = 23112341436314143
BaseRepresentation
bin100101010000011101110…
…1110110110000001001000
3200010112011122020001112111
41022200323232312001020
51132343443401334311
614520212252352104
71035644214433411
oct112407356660110
920115148201474
105120603152456
1116a46a9a92a90
126a84a7775634
132b1b4220c07c
14139ba4c56808
158d2ea618d21
hex4a83bbb6048

5120603152456 has 128 divisors (see below), whose sum is σ = 11199278039040. Its totient is φ = 2171396620800.

The previous prime is 5120603152453. The next prime is 5120603152487. The reversal of 5120603152456 is 6542513060215.

It is not an unprimeable number, because it can be changed into a prime (5120603152453) 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, 362052121 + ... + 362066263.

It is an arithmetic number, because the mean of its divisors is an integer number (87494359680).

Almost surely, 25120603152456 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 5120603152456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599639019520).

5120603152456 is an abundant number, since it is smaller than the sum of its proper divisors (6078674886584).

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

5120603152456 is a wasteful number, since it uses less digits than its factorization.

5120603152456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18587 (or 18583 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 5120603152456 in words is "five trillion, one hundred twenty billion, six hundred three million, one hundred fifty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 23 41 44 46 82 88 92 164 184 253 328 451 506 902 943 1012 1804 1886 2024 3608 3772 4363 7544 8726 10373 14143 17452 20746 28286 34904 41492 47993 56572 82984 95986 100349 113144 155573 178883 191972 200698 311146 325289 357766 383944 401396 579863 622292 650578 715532 802792 1103839 1159726 1244584 1301156 1431064 1967713 2207678 2319452 2602312 3578179 3935426 4114309 4415356 4638904 6378493 7156358 7870852 8228618 8830712 12756986 13336849 14312716 15741704 16457236 25513972 26673698 28625432 32914472 45257399 51027944 53347396 61705909 90514798 106694792 123411818 146705339 181029596 246823636 293410678 362059192 493647272 586821356 678764999 1173642712 1357529998 1419235907 2529942269 2715059996 2838471814 5059884538 5430119992 5676943628 10119769076 11353887256 15611594977 20239538152 27829364959 31223189954 55658729918 58188672187 62446379908 111317459836 116377344374 124892759816 222634919672 232754688748 465509377496 640075394057 1280150788114 2560301576228 5120603152456