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5006412268956 = 223474153839337
BaseRepresentation
bin100100011011010010101…
…1011001100010110011100
3122201121102110221010210000
41020312211123030112130
51124011113020101311
614351525233414300
71024462364101620
oct110664533142634
918647373833700
105006412268956
11166023123309a
1268a33940a390
132a41446a8b57
14134451231180
158a365643056
hex48da56cc59c

5006412268956 has 120 divisors (see below), whose sum is σ = 15322244880096. Its totient is φ = 1395515589120.

The previous prime is 5006412268951. The next prime is 5006412268961. The reversal of 5006412268956 is 6598622146005.

5006412268956 is a `hidden beast` number, since 500 + 6 + 4 + 1 + 2 + 2 + 6 + 89 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5006412268951) and next prime (5006412268961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006412268951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26826681 + ... + 27012656.

Almost surely, 25006412268956 is an apocalyptic number.

It is an amenable number.

5006412268956 is an abundant number, since it is smaller than the sum of its proper divisors (10315832611140).

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

5006412268956 is a wasteful number, since it uses less digits than its factorization.

5006412268956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53839401 (or 53839390 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5006412268956 in words is "five trillion, six billion, four hundred twelve million, two hundred sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2583 3321 3444 4428 5166 6642 7749 10332 13284 15498 23247 30996 46494 92988 53839337 107678674 161518011 215357348 323036022 376875359 484554033 646072044 753750718 969108066 1130626077 1453662099 1507501436 1938216132 2207412817 2261252154 2907324198 3391878231 4360986297 4414825634 4522504308 5814648396 6622238451 6783756462 8721972594 8829651268 10175634693 13244476902 13567512924 15451889719 17443945188 19866715353 20351269386 26488953804 30526904079 30903779438 39733430706 40702538772 46355669157 59600146059 61053808158 61807558876 79466861412 92711338314 119200292118 122107616316 139067007471 178800438177 185422676628 238400584236 278134014942 357600876354 417201022413 556268029884 715201752708 834402044826 1251603067239 1668804089652 2503206134478 5006412268956