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55608907158 = 2347149397829
BaseRepresentation
bin110011110010100011…
…001001010110010110
312022112110222011210000
4303302203021112112
51402341340012113
641314003512130
74006016624520
oct636243112626
9168473864700
1055608907158
1121646862012
12a93b388646
135322ac54bc
142997616a10
1516a6ec8373
hexcf28c9596

55608907158 has 160 divisors (see below), whose sum is σ = 143896104000. Its totient is φ = 15722885376.

The previous prime is 55608907121. The next prime is 55608907171. The reversal of 55608907158 is 85170980655.

55608907158 is a `hidden beast` number, since 5 + 560 + 8 + 9 + 0 + 71 + 5 + 8 = 666.

55608907158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67079088 + ... + 67079916.

It is an arithmetic number, because the mean of its divisors is an integer number (899350650).

Almost surely, 255608907158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55608907158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71948052000).

55608907158 is an abundant number, since it is smaller than the sum of its proper divisors (88287196842).

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

55608907158 is a wasteful number, since it uses less digits than its factorization.

55608907158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 55608907158 in words is "fifty-five billion, six hundred eight million, nine hundred seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 149 162 189 298 378 397 447 567 794 829 894 1043 1134 1191 1341 1658 2086 2382 2487 2682 2779 3129 3573 4023 4974 5558 5803 6258 7146 7461 8046 8337 9387 10719 11606 12069 14922 16674 17409 18774 21438 22383 24138 25011 28161 32157 34818 44766 50022 52227 56322 59153 64314 67149 75033 84483 104454 118306 123521 134298 150066 156681 168966 177459 225099 247042 313362 329113 354918 370563 414071 450198 470043 532377 658226 741126 828142 864647 940086 987339 1064754 1111689 1242213 1597131 1729294 1974678 2223378 2303791 2484426 2593941 2962017 3194262 3335067 3726639 4607582 4791393 5187882 5924034 6670134 6911373 7453278 7781823 8886051 9582786 10005201 11179917 13822746 15563646 17772102 20010402 20734119 22359834 23345469 26658153 33539751 41468238 46690938 49037837 53316306 62202357 67079502 70036407 98075674 124404714 140072814 147113511 186607071 294227022 343264859 373214142 441340533 686529718 882681066 1029794577 1324021599 2059589154 2648043198 3089383731 3972064797 6178767462 7944129594 9268151193 18536302386 27804453579 55608907158