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107982451404 = 2237192311103
BaseRepresentation
bin110010010010001000…
…0010111001011001100
3101022201111000220000000
41210210100113023030
53232122001421104
6121334554404300
710541622456402
oct1444420271314
9338644026000
10107982451404
1141882307a83
1218b17130690
13a24b51a179
14532527b472
152c1ee1a639
hex19244172cc

107982451404 has 288 divisors, whose sum is σ = 309040865280. Its totient is φ = 32969812320.

The previous prime is 107982451363. The next prime is 107982451427. The reversal of 107982451404 is 404154289701.

107982451404 is a `hidden beast` number, since 10 + 79 + 82 + 451 + 40 + 4 = 666.

It is a super-2 number, since 2×1079824514042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107982451404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97898317 + ... + 97899419.

It is an arithmetic number, because the mean of its divisors is an integer number (1073058560).

Almost surely, 2107982451404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107982451404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154520432640).

107982451404 is an abundant number, since it is smaller than the sum of its proper divisors (201058413876).

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

107982451404 is a wasteful number, since it uses less digits than its factorization.

107982451404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 107982451404 in words is "one hundred seven billion, nine hundred eighty-two million, four hundred fifty-one thousand, four hundred four".