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13625224500 = 2235316675449
BaseRepresentation
bin11001011000010000…
…00110110100110100
31022011120021010020110
430230020012310310
5210401024141000
610132003503020
7661434332406
oct145410066464
938146233213
1013625224500
1158620a1918
122783087a70
131391a8ca24
149337dab76
1554b2a3850
hex32c206d34

13625224500 has 96 divisors (see below), whose sum is σ = 39707740800. Its totient is φ = 3630547200.

The previous prime is 13625224493. The next prime is 13625224553. The reversal of 13625224500 is 542252631.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2497776 + ... + 2503224.

It is an arithmetic number, because the mean of its divisors is an integer number (413622300).

Almost surely, 213625224500 is an apocalyptic number.

13625224500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13625224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853870400).

13625224500 is an abundant number, since it is smaller than the sum of its proper divisors (26082516300).

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

13625224500 is a wasteful number, since it uses less digits than its factorization.

13625224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13625224500 in words is "thirteen billion, six hundred twenty-five million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 1667 3334 5001 5449 6668 8335 10002 10898 16347 16670 20004 21796 25005 27245 32694 33340 41675 50010 54490 65388 81735 83350 100020 108980 125025 136225 163470 166700 208375 250050 272450 326940 408675 416750 500100 544900 625125 681125 817350 833500 1250250 1362250 1634700 2043375 2500500 2724500 4086750 8173500 9083483 18166966 27250449 36333932 45417415 54500898 90834830 109001796 136252245 181669660 227087075 272504490 454174150 545008980 681261225 908348300 1135435375 1362522450 2270870750 2725044900 3406306125 4541741500 6812612250 13625224500