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106960132267459 = 3722315238511683
BaseRepresentation
bin11000010100011110011000…
…101100000101110111000011
3112000201021210112002212000021
4120110132120230011313003
5103004413322330024314
61015252450104234311
731346420534235202
oct3024363054056703
9460637715085007
10106960132267459
11310985a0246a29
12bbb570ba6b997
13478b3b2c1c893
141c5ac8026b239
15c57429e12324
hex614798b05dc3

106960132267459 has 16 divisors (see below), whose sum is σ = 110416016212992. Its totient is φ = 103534601791968.

The previous prime is 106960132267411. The next prime is 106960132267489. The reversal of 106960132267459 is 954762231069601.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-106960132267459 is a prime.

It is a super-2 number, since 2×1069601322674592 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106960132267397 and 106960132267406.

It is not an unprimeable number, because it can be changed into a prime (106960132267489) 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, 8310432 + ... + 16822114.

It is an arithmetic number, because the mean of its divisors is an integer number (6901001013312).

Almost surely, 2106960132267459 is an apocalyptic number.

106960132267459 is a deficient number, since it is larger than the sum of its proper divisors (3455883945533).

106960132267459 is a wasteful number, since it uses less digits than its factorization.

106960132267459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8513466.

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 106960132267459 in words is "one hundred six trillion, nine hundred sixty billion, one hundred thirty-two million, two hundred sixty-seven thousand, four hundred fifty-nine".

Divisors: 1 37 223 1523 8251 56351 339629 8511683 12566273 314932271 1898105309 12963293209 70229896433 479641848733 2890814385607 106960132267459