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10725701520 = 2435197322651
BaseRepresentation
bin10011111110100110…
…10011011110010000
31000200111022002110110
421333103103132100
5133431234422040
64532145001320
7526535646552
oct117723233620
930614262413
1010725701520
114604419336
1220b4023240
13101c158161
1473a6ab4d2
1542b95a980
hex27f4d3790

10725701520 has 80 divisors (see below), whose sum is σ = 33267995712. Its totient is φ = 2858611200.

The previous prime is 10725701513. The next prime is 10725701543. The reversal of 10725701520 is 2510752701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107257015202 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462195 + ... + 484845.

Almost surely, 210725701520 is an apocalyptic number.

10725701520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10725701520 is an abundant number, since it is smaller than the sum of its proper divisors (22542294192).

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

10725701520 is a wasteful number, since it uses less digits than its factorization.

10725701520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24640 (or 24634 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The spelling of 10725701520 in words is "ten billion, seven hundred twenty-five million, seven hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1973 3946 5919 7892 9865 11838 15784 19730 22651 23676 29595 31568 39460 45302 47352 59190 67953 78920 90604 94704 113255 118380 135906 157840 181208 226510 236760 271812 339765 362416 453020 473520 543624 679530 906040 1087248 1359060 1812080 2718120 5436240 44690423 89380846 134071269 178761692 223452115 268142538 357523384 446904230 536285076 670356345 715046768 893808460 1072570152 1340712690 1787616920 2145140304 2681425380 3575233840 5362850760 10725701520