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5156981458432 = 29171278595431
BaseRepresentation
bin100101100001011010000…
…0011000100011000000000
3200021000001220102110211021
41023002310003010120000
51133442444223132212
614545030133555224
71041402544066456
oct113026403043000
920230056373737
105156981458432
111709077655771
126b355a7a5b14
132b53bbb56ccb
1413b8564289d6
158e2291a6307
hex4b0b40c4600

5156981458432 has 160 divisors (see below), whose sum is σ = 11010735267840. Its totient is φ = 2404460298240.

The previous prime is 5156981458429. The next prime is 5156981458469. The reversal of 5156981458432 is 2348541896515.

It is a happy number.

It is a super-2 number, since 2×51569814584322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949542757 + ... + 949548187.

It is an arithmetic number, because the mean of its divisors is an integer number (68817095424).

Almost surely, 25156981458432 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 5156981458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505367633920).

5156981458432 is an abundant number, since it is smaller than the sum of its proper divisors (5853753809408).

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

5156981458432 is a wasteful number, since it uses less digits than its factorization.

5156981458432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6436 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 61.

The spelling of 5156981458432 in words is "five trillion, one hundred fifty-six billion, nine hundred eighty-one million, four hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 272 508 512 544 859 1016 1088 1718 2032 2159 2176 3436 4064 4318 4352 5431 6872 8128 8636 8704 10862 13744 14603 16256 17272 21724 27488 29206 32512 34544 43448 54976 58412 65024 69088 86896 92327 109093 109952 116824 138176 173792 184654 218186 219904 233648 276352 347584 369308 436372 439808 467296 552704 689737 695168 738616 872744 934592 1105408 1379474 1390336 1477232 1745488 1854581 1869184 2758948 2780672 2954464 3490976 3709162 3738368 4665229 5517896 5908928 6981952 7418324 7476736 9330458 11035792 11725529 11817856 13963904 14836648 18660916 22071584 23451058 23635712 27927808 29673296 37321832 44143168 46902116 47271424 55855616 59346592 74643664 79308893 88286336 93804232 118693184 149287328 158617786 176572672 187608464 237386368 298574656 317235572 353145344 375216928 474772736 592484083 597149312 634471144 750433856 949545472 1184968166 1194298624 1268942288 1500867712 2369936332 2388597248 2537884576 3001735424 4739872664 5075769152 6003470848 9479745328 10072229411 10151538304 18959490656 20144458822 20303076608 37918981312 40288917644 40606153216 75837962624 80577835288 151675925248 161155670576 303351850496 322311341152 644622682304 1289245364608 2578490729216 5156981458432