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106460471752360 = 235111791351707361
BaseRepresentation
bin11000001101001101000010…
…100110011111011010101000
3111221221112002022200202111121
4120031031002212133122220
5102423222021232033420
61014231133205305024
731265341510026445
oct3015150246373250
9457845068622447
10106460471752360
1130a156a5981570
12bb34904705174
134753244215b5b
141c40a001789cc
15c49433edc2aa
hex60d34299f6a8

106460471752360 has 64 divisors (see below), whose sum is σ = 262771911172800. Its totient is φ = 38496625612800.

The previous prime is 106460471752319. The next prime is 106460471752429. The reversal of 106460471752360 is 63257174064601.

It is a super-2 number, since 2×1064604717523602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106460471752298 and 106460471752307.

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, 675774921 + ... + 675932440.

It is an arithmetic number, because the mean of its divisors is an integer number (4105811112075).

Almost surely, 2106460471752360 is an apocalyptic number.

106460471752360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106460471752360 is an abundant number, since it is smaller than the sum of its proper divisors (156311439420440).

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

106460471752360 is a wasteful number, since it uses less digits than its factorization.

106460471752360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351707562 (or 1351707558 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 106460471752360 in words is "one hundred six trillion, four hundred sixty billion, four hundred seventy-one million, seven hundred fifty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 7160 7876 9845 15752 19690 39380 78760 1351707361 2703414722 5406829444 6758536805 10813658888 13517073610 14868780971 27034147220 29737561942 54068294440 59475123884 74343904855 118950247768 148687809710 241955617619 297375619420 483911235238 594751238840 967822470476 1209778088095 1935644940952 2419556176190 2661511793809 4839112352380 5323023587618 9678224704760 10646047175236 13307558969045 21292094350472 26615117938090 53230235876180 106460471752360