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13630562500 = 22564672
BaseRepresentation
bin11001011000111000…
…11110000011000100
31022011221022022121011
430230130132003010
5210403411000000
610132314132004
7661530604162
oct145434360304
938157268534
1013630562500
115865108395
122784a21004
131392c0b5c9
149343ca232
1554b9aa2ba
hex32c71e0c4

13630562500 has 63 divisors (see below), whose sum is σ = 29880457369. Its totient is φ = 5440550000.

The previous prime is 13630562489. The next prime is 13630562563. The reversal of 13630562500 is 526503631.

The square root of 13630562500 is 116750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 11941681284 + 1688881216 = 109278^2 + 41096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 29187267 + ... + 29187733.

Almost surely, 213630562500 is an apocalyptic number.

13630562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13630562500 is the 116750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630562500

13630562500 is an abundant number, since it is smaller than the sum of its proper divisors (16249894869).

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

13630562500 is an frugal number, since it uses more digits than its factorization.

13630562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 13630562500 in words is "thirteen billion, six hundred thirty million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 467 500 625 934 1250 1868 2335 2500 3125 4670 6250 9340 11675 12500 15625 23350 31250 46700 58375 62500 116750 218089 233500 291875 436178 583750 872356 1090445 1167500 1459375 2180890 2918750 4361780 5452225 5837500 7296875 10904450 14593750 21808900 27261125 29187500 54522250 109044500 136305625 272611250 545222500 681528125 1363056250 2726112500 3407640625 6815281250 13630562500