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24130225408 = 281731178859
BaseRepresentation
bin10110011110010001…
…100000010100000000
32022021200021110101011
4112132101200110000
5343404314203113
615030230250304
71512653350252
oct263621402400
968250243334
1024130225408
11a262979553
1248151b6994
1323772935b3
14124ca57cd2
1596366663d
hex59e460500

24130225408 has 72 divisors (see below), whose sum is σ = 52644936960. Its totient is φ = 10989035520.

The previous prime is 24130225337. The next prime is 24130225417. The reversal of 24130225408 is 80452203142.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 24130225408.

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, 45483 + ... + 224341.

It is an arithmetic number, because the mean of its divisors is an integer number (731179680).

Almost surely, 224130225408 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 24130225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26322468480).

24130225408 is an abundant number, since it is smaller than the sum of its proper divisors (28514711552).

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

24130225408 is a wasteful number, since it uses less digits than its factorization.

24130225408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178923 (or 178909 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 24130225408 in words is "twenty-four billion, one hundred thirty million, two hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 4352 7936 8432 16864 33728 67456 134912 178859 357718 715436 1430872 2861744 3040603 5544629 5723488 6081206 11089258 11446976 12162412 22178516 22893952 24324824 44357032 45787904 48649648 88714064 94258693 97299296 177428128 188517386 194598592 354856256 377034772 389197184 709712512 754069544 778394368 1419425024 1508139088 3016278176 6032556352 12065112704 24130225408