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79080138072 = 233213161352379
BaseRepresentation
bin100100110100110001…
…0110010010101011000
321120010020020020122200
41021221202302111120
52243424003404242
6100155013450200
75466452040255
oct1115142622530
9246106206580
1079080138072
11305a0749211
12133ab940960
1375c36a5b10
143b8292c42c
1520cc86c04c
hex12698b2558

79080138072 has 96 divisors (see below), whose sum is σ = 230797803600. Its totient is φ = 24316800768.

The previous prime is 79080138041. The next prime is 79080138101. The reversal of 79080138072 is 27083108097.

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, 1483579 + ... + 1535957.

Almost surely, 279080138072 is an apocalyptic number.

79080138072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79080138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115398901800).

79080138072 is an abundant number, since it is smaller than the sum of its proper divisors (151717665528).

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

79080138072 is a wasteful number, since it uses less digits than its factorization.

79080138072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54017 (or 54010 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 79080138072 in words is "seventy-nine billion, eighty million, one hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1613 3226 4839 6452 9678 12904 14517 19356 20969 29034 38712 41938 52379 58068 62907 83876 104758 116136 125814 157137 167752 188721 209516 251628 314274 377442 419032 471411 503256 628548 680927 754884 942822 1257096 1361854 1509768 1885644 2042781 2723708 3771288 4085562 5447416 6128343 8171124 12256686 16342248 24513372 49026744 84487327 168974654 253461981 337949308 506923962 675898616 760385943 1013847924 1098335251 1520771886 2027695848 2196670502 3041543772 3295005753 4393341004 6083087544 6590011506 8786682008 9885017259 13180023012 19770034518 26360046024 39540069036 79080138072