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106988645592 = 233231371295513
BaseRepresentation
bin110001110100100000…
…1010010110011011000
3101020011020000022201100
41203221001102303120
53223103043124332
6121052213551400
710505164324353
oct1435101226330
9336136008640
10106988645592
1141412334a64
121889a345560
13a12066b4aa
14526d2a329a
152bb2a5e67c
hex18e9052cd8

106988645592 has 96 divisors (see below), whose sum is σ = 307192279680. Its totient is φ = 33579671040.

The previous prime is 106988645471. The next prime is 106988645633. The reversal of 106988645592 is 295546889601.

106988645592 is a `hidden beast` number, since 1 + 0 + 6 + 98 + 8 + 6 + 455 + 92 = 666.

It is a super-2 number, since 2×1069886455922 (a number of 23 digits) contains 22 as substring.

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, 565173 + ... + 730340.

It is an arithmetic number, because the mean of its divisors is an integer number (3199919580).

Almost surely, 2106988645592 is an apocalyptic number.

106988645592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106988645592 is an abundant number, since it is smaller than the sum of its proper divisors (200203634088).

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

106988645592 is a wasteful number, since it uses less digits than its factorization.

106988645592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295593 (or 1295586 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 106988645592 in words is "one hundred six billion, nine hundred eighty-eight million, six hundred forty-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 2232 2294 2664 3441 4588 6882 9176 10323 13764 20646 27528 41292 82584 1295513 2591026 3886539 5182052 7773078 10364104 11659617 15546156 23319234 31092312 40160903 46638468 47933981 80321806 93276936 95867962 120482709 143801943 160643612 191735924 240965418 287603886 321287224 361448127 383471848 431405829 481930836 575207772 722896254 862811658 963861672 1150415544 1445792508 1485953411 1725623316 2891585016 2971906822 3451246632 4457860233 5943813644 8915720466 11887627288 13373580699 17831440932 26747161398 35662881864 53494322796 106988645592