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106374384336 = 24311238759419
BaseRepresentation
bin110001100010001101…
…0000100101011010000
3101011120102011121200110
41203010122010223100
53220323320244321
6120511232121320
710454025230253
oct1430432045320
9334512147613
10106374384336
1141127626430
1218748696240
13a05331b5ac
14521188709a
152b78b76176
hex18c4684ad0

106374384336 has 80 divisors (see below), whose sum is σ = 312816407040. Its totient is φ = 30833151360.

The previous prime is 106374384317. The next prime is 106374384349. The reversal of 106374384336 is 633483473601.

It is a super-2 number, since 2×1063743843362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4367566 + ... + 4391853.

It is an arithmetic number, because the mean of its divisors is an integer number (3910205088).

Almost surely, 2106374384336 is an apocalyptic number.

106374384336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106374384336 is an abundant number, since it is smaller than the sum of its proper divisors (206442022704).

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

106374384336 is a wasteful number, since it uses less digits than its factorization.

106374384336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759464 (or 8759458 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 106374384336 in words is "one hundred six billion, three hundred seventy-four million, three hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 8759419 17518838 26278257 35037676 52556514 70075352 96353609 105113028 140150704 192707218 201466637 210226056 289060827 385414436 402933274 420452112 578121654 604399911 770828872 805866548 1156243308 1208799822 1541657744 1611733096 2216133007 2312486616 2417599644 3223466192 4432266014 4624973232 4835199288 6648399021 8864532028 9670398576 13296798042 17729064056 26593596084 35458128112 53187192168 106374384336