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78461398152 = 23327993136337
BaseRepresentation
bin100100100010010101…
…0011110110010001000
321111112002222000001100
41021010222132302020
52241142104220102
6100013352021400
75445226610634
oct1110452366210
9244462860040
1078461398152
1130303460805
1213258691860
137525448517
143b246a7dc4
15209339ba1c
hex1244a9ec88

78461398152 has 48 divisors (see below), whose sum is σ = 212527764540. Its totient is φ = 26150335488.

The previous prime is 78461398139. The next prime is 78461398159. The reversal of 78461398152 is 25189316487.

78461398152 is a `hidden beast` number, since 7 + 8 + 4 + 613 + 9 + 8 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66963983076 + 11497415076 = 258774^2 + 107226^2 .

It is not an unprimeable number, because it can be changed into a prime (78461398159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507328 + ... + 643664.

Almost surely, 278461398152 is an apocalyptic number.

78461398152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78461398152 is an abundant number, since it is smaller than the sum of its proper divisors (134066366388).

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

78461398152 is a wasteful number, since it uses less digits than its factorization.

78461398152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144342 (or 144335 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 78461398152 in words is "seventy-eight billion, four hundred sixty-one million, three hundred ninety-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7993 15986 23979 31972 47958 63944 71937 95916 136337 143874 191832 272674 287748 409011 545348 575496 818022 1090696 1227033 1636044 2454066 3272088 4908132 9816264 1089741641 2179483282 3269224923 4358966564 6538449846 8717933128 9807674769 13076899692 19615349538 26153799384 39230699076 78461398152