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106392495342 = 23719157849197
BaseRepresentation
bin110001100010101111…
…1001010010011101110
3101011121200020202022110
41203011133022103232
53220342434322332
6120513120224450
710454335201110
oct1430537122356
9334550222273
10106392495342
1141136876501
121875276b126
13a056cbcc73
14521403d3b0
152b7a5524cc
hex18c57ca4ee

106392495342 has 64 divisors (see below), whose sum is σ = 257612705280. Its totient is φ = 28614508416.

The previous prime is 106392495331. The next prime is 106392495367. The reversal of 106392495342 is 243594293601.

It is a super-3 number, since 3×1063924953423 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106392495291 and 106392495300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299313 + ... + 549884.

It is an arithmetic number, because the mean of its divisors is an integer number (4025198520).

Almost surely, 2106392495342 is an apocalyptic number.

106392495342 is an abundant number, since it is smaller than the sum of its proper divisors (151220209938).

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

106392495342 is a wasteful number, since it uses less digits than its factorization.

106392495342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849385.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 106392495342 in words is "one hundred six billion, three hundred ninety-two million, four hundred ninety-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 157 266 314 399 471 798 942 1099 2198 2983 3297 5966 6594 8949 17898 20881 41762 62643 125286 849197 1698394 2547591 5095182 5944379 11888758 16134743 17833137 32269486 35666274 48404229 96808458 112943201 133323929 225886402 266647858 338829603 399971787 677659206 799943574 933267503 1866535006 2533154651 2799802509 5066309302 5599605018 7599463953 15198927906 17732082557 35464165114 53196247671 106392495342