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78838115148 = 223213712372641
BaseRepresentation
bin100100101101100011…
…1100010101101001100
321112111100211012121200
41021123013202231030
52242430024141043
6100115010225500
75460452631132
oct1113307425514
9245440735550
1078838115148
1130487073871
1213342885290
1375854c72a0
143b5c72b752
1520b64b17d3
hex125b1e2b4c

78838115148 has 72 divisors (see below), whose sum is σ = 217637705376. Its totient is φ = 23916211200.

The previous prime is 78838115143. The next prime is 78838115149. The reversal of 78838115148 is 84151183887.

78838115148 is a `hidden beast` number, since 7 + 88 + 38 + 11 + 514 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 78838115094 and 78838115103.

It is not an unprimeable number, because it can be changed into a prime (78838115143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153093 + ... + 1219548.

It is an arithmetic number, because the mean of its divisors is an integer number (3022745908).

Almost surely, 278838115148 is an apocalyptic number.

78838115148 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

78838115148 is an abundant number, since it is smaller than the sum of its proper divisors (138799590228).

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

78838115148 is a wasteful number, since it uses less digits than its factorization.

78838115148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372735 (or 2372730 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The spelling of 78838115148 in words is "seventy-eight billion, eight hundred thirty-eight million, one hundred fifteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5538 8307 11076 16614 33228 2372641 4745282 7117923 9490564 14235846 21353769 28471692 30844333 42707538 61688666 85415076 92532999 123377332 168457511 185065998 277598997 336915022 370131996 505372533 555197994 673830044 1010745066 1110395988 1516117599 2021490132 2189947643 3032235198 4379895286 6064470396 6569842929 8759790572 13139685858 19709528787 26279371716 39419057574 78838115148