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106347622992 = 24313170428883
BaseRepresentation
bin110001100001011001…
…1111111001001010000
3101011111112211000000120
41203002303333021100
53220244442413432
6120504434350240
710453251610662
oct1430263771120
9334445730016
10106347622992
1141113508216
121873b72b380
13a04a90b790
14520c0bc532
152b7663bc2c
hex18c2cff250

106347622992 has 40 divisors (see below), whose sum is σ = 295864542624. Its totient is φ = 32722345344.

The previous prime is 106347622967. The next prime is 106347623003. The reversal of 106347622992 is 299226743601.

It is a super-2 number, since 2×1063476229922 (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 7 ways as a sum of consecutive naturals, for example, 85213818 + ... + 85215065.

Almost surely, 2106347622992 is an apocalyptic number.

106347622992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106347622992 is an abundant number, since it is smaller than the sum of its proper divisors (189516919632).

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

106347622992 is a wasteful number, since it uses less digits than its factorization.

106347622992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170428907 (or 170428901 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 106347622992 in words is "one hundred six billion, three hundred forty-seven million, six hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 170428883 340857766 511286649 681715532 1022573298 1363431064 2045146596 2215575479 2726862128 4090293192 4431150958 6646726437 8180586384 8862301916 13293452874 17724603832 26586905748 35449207664 53173811496 106347622992