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106962557156 = 227132691092391
BaseRepresentation
bin110001110011101110…
…1110001100011100100
3101020002101220220002222
41203213131301203210
53223024403312111
6121045442451512
710504426506650
oct1434735614344
9336071826088
10106962557156
11413a9636374
1218891663b98
13a118135a50
145269a31a60
152bb06097db
hex18e77718e4

106962557156 has 48 divisors (see below), whose sum is σ = 231237538560. Its totient is φ = 42157514880.

The previous prime is 106962557153. The next prime is 106962557179. The reversal of 106962557156 is 651755269601.

It is a happy number.

It is a super-2 number, since 2×1069625571562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106962557098 and 106962557107.

It is not an unprimeable number, because it can be changed into a prime (106962557153) 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, 448280 + ... + 644111.

It is an arithmetic number, because the mean of its divisors is an integer number (4817448720).

Almost surely, 2106962557156 is an apocalyptic number.

It is an amenable number.

106962557156 is an abundant number, since it is smaller than the sum of its proper divisors (124274981404).

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

106962557156 is a wasteful number, since it uses less digits than its factorization.

106962557156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092684 (or 1092682 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 53.

The spelling of 106962557156 in words is "one hundred six billion, nine hundred sixty-two million, five hundred fifty-seven thousand, one hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 269 364 538 1076 1883 3497 3766 6994 7532 13988 24479 48958 97916 1092391 2184782 4369564 7646737 14201083 15293474 28402166 30586948 56804332 99407581 198815162 293853179 397630324 587706358 1175412716 2056972253 3820091327 4113944506 7640182654 8227889012 15280365308 26740639289 53481278578 106962557156