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10251527020 = 2257316138723
BaseRepresentation
bin10011000110000100…
…11110001101101100
3222110110001112022221
421203002132031230
5131443342331040
64413125445124
7512020353610
oct114302361554
928413045287
1010251527020
1143907a0a89
121ba12707a4
13c74b45c27
146d3719340
153eeee474a
hex26309e36c

10251527020 has 96 divisors (see below), whose sum is σ = 25814347776. Its totient is φ = 3345580800.

The previous prime is 10251526997. The next prime is 10251527029. The reversal of 10251527020 is 2072515201.

It is not an unprimeable number, because it can be changed into a prime (10251527029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245379 + ... + 284101.

It is an arithmetic number, because the mean of its divisors is an integer number (268899456).

Almost surely, 210251527020 is an apocalyptic number.

10251527020 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 10251527020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907173888).

10251527020 is an abundant number, since it is smaller than the sum of its proper divisors (15562820756).

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

10251527020 is a wasteful number, since it uses less digits than its factorization.

10251527020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38831 (or 38829 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The spelling of 10251527020 in words is "ten billion, two hundred fifty-one million, five hundred twenty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 61 62 70 122 124 140 155 217 244 305 310 427 434 610 620 854 868 1085 1220 1708 1891 2135 2170 3782 4270 4340 7564 8540 9455 13237 18910 26474 37820 38723 52948 66185 77446 132370 154892 193615 264740 271061 387230 542122 774460 1084244 1200413 1355305 2362103 2400826 2710610 4724206 4801652 5421220 6002065 8402891 9448412 11810515 12004130 16534721 16805782 23621030 24008260 33069442 33611564 42014455 47242060 66138884 73225193 82673605 84028910 146450386 165347210 168057820 292900772 330694420 366125965 512576351 732251930 1025152702 1464503860 2050305404 2562881755 5125763510 10251527020