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107734067392 = 2671672515737
BaseRepresentation
bin110010001010101110…
…0110110100011000000
3101022002011122200012011
41210111130312203000
53231114410124032
6121254202542304
710532515314640
oct1442534664300
9338064580164
10107734067392
1141765088436
1218a67b07994
13a20bc22193
1453002a2520
152c08205247
hex19157368c0

107734067392 has 112 divisors (see below), whose sum is σ = 246810751488. Its totient is φ = 45704448000.

The previous prime is 107734067381. The next prime is 107734067393. The reversal of 107734067392 is 293760437701.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (107734067393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18775948 + ... + 18781684.

It is an arithmetic number, because the mean of its divisors is an integer number (2203667424).

Almost surely, 2107734067392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107734067392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123405375744).

107734067392 is an abundant number, since it is smaller than the sum of its proper divisors (139076684096).

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

107734067392 is a wasteful number, since it uses less digits than its factorization.

107734067392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 49.

The spelling of 107734067392 in words is "one hundred seven billion, seven hundred thirty-four million, sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 251 334 448 502 668 1004 1169 1336 1757 2008 2338 2672 3514 4016 4676 5344 5737 7028 8032 9352 10688 11474 14056 16064 18704 22948 28112 37408 40159 41917 45896 56224 74816 80318 83834 91792 112448 160636 167668 183584 293419 321272 335336 367168 586838 642544 670672 958079 1173676 1285088 1341344 1439987 1916158 2347352 2570176 2682688 2879974 3832316 4694704 5759948 6706553 7664632 9389408 10079909 11519896 13413106 15329264 18778816 20159818 23039792 26826212 30658528 40319636 46079584 53652424 61317056 80639272 92159168 107304848 161278544 214609696 240477829 322557088 429219392 480955658 645114176 961911316 1683344803 1923822632 3366689606 3847645264 6733379212 7695290528 13466758424 15390581056 26933516848 53867033696 107734067392