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10153365740 = 2257293477207
BaseRepresentation
bin10010111010011000…
…00001000011101100
3222012121100102100222
421131030001003230
5131243230200430
64355301510512
7506416120250
oct113514010354
928177312328
1010153365740
114340345a61
121b74412438
13c5a6c732b
146c4686260
153e65a49e5
hex25d3010ec

10153365740 has 96 divisors (see below), whose sum is σ = 25284510720. Its totient is φ = 3350962944.

The previous prime is 10153365731. The next prime is 10153365757. The reversal of 10153365740 is 4756335101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10153365740.

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, 1405217 + ... + 1412423.

It is an arithmetic number, because the mean of its divisors is an integer number (263380320).

Almost surely, 210153365740 is an apocalyptic number.

10153365740 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 10153365740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642255360).

10153365740 is an abundant number, since it is smaller than the sum of its proper divisors (15131144980).

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

10153365740 is a wasteful number, since it uses less digits than its factorization.

10153365740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 10153365740 in words is "ten billion, one hundred fifty-three million, three hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 347 406 580 694 812 1015 1388 1735 2030 2429 3470 4060 4858 6940 7207 9716 10063 12145 14414 20126 24290 28828 36035 40252 48580 50315 50449 70441 72070 100630 100898 140882 144140 201260 201796 209003 252245 281764 352205 418006 504490 704410 836012 1008980 1045015 1408820 1463021 2090030 2500829 2926042 4180060 5001658 5852084 7315105 10003316 12504145 14630210 17505803 25008290 29260420 35011606 50016580 70023212 72524041 87529015 145048082 175058030 290096164 350116060 362620205 507668287 725240410 1015336574 1450480820 2030673148 2538341435 5076682870 10153365740