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5555657617632 = 2532292026132831
BaseRepresentation
bin101000011011000011011…
…1111111011000011100000
3201200010010022221202122100
41100312012333323003200
51212010441322231012
615452122303410400
71112245242403353
oct120660677730340
921603108852570
105555657617632
111852160986961
127588825b3a00
13313b861309a5
14152c7686229a
15997ae7508dc
hex50d86ffb0e0

5555657617632 has 144 divisors (see below), whose sum is σ = 16344995546880. Its totient is φ = 1787885030400.

The previous prime is 5555657617619. The next prime is 5555657617649. The reversal of 5555657617632 is 2367167565555.

5555657617632 is a `hidden beast` number, since 5 + 5 + 5 + 5 + 6 + 5 + 7 + 617 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5555657617632.

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, 169203457 + ... + 169236287.

It is an arithmetic number, because the mean of its divisors is an integer number (113506913520).

Almost surely, 25555657617632 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 5555657617632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172497773440).

5555657617632 is an abundant number, since it is smaller than the sum of its proper divisors (10789337929248).

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

5555657617632 is a wasteful number, since it uses less digits than its factorization.

5555657617632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53137 (or 53126 counting only the distinct ones).

The product of its digits is 198450000, while the sum is 63.

The spelling of 5555657617632 in words is "five trillion, five hundred fifty-five billion, six hundred fifty-seven million, six hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 20261 32831 40522 60783 65662 81044 98493 121566 131324 162088 182349 196986 243132 262648 295479 324176 364698 393972 486264 525296 587569 590958 648352 729396 787944 952099 972528 1050592 1175138 1181916 1458792 1575888 1762707 1904198 1945056 2350276 2363832 2856297 2917584 3151776 3525414 3808396 4700552 4727664 5288121 5712594 5835168 7050828 7616792 8568891 9401104 9455328 10576242 11425188 14101656 15233584 17137782 18802208 21152484 22850376 28203312 30467168 34275564 42304968 45700752 56406624 68551128 84609936 91401504 137102256 169219872 274204512 665188891 1330377782 1995566673 2660755564 3991133346 5321511128 5986700019 7982266692 10643022256 11973400038 15964533384 19290477839 21286044512 23946800076 31929066768 38580955678 47893600152 57871433517 63858133536 77161911356 95787200304 115742867034 154323822712 173614300551 191574400608 231485734068 308647645424 347228601102 462971468136 617295290848 694457202204 925942936272 1388914404408 1851885872544 2777828808816 5555657617632