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12002517136 = 246124492
BaseRepresentation
bin10110010110110011…
…11110000010010000
31010222110212001012201
423023121332002100
5144040121022021
65302555332544
7603301466221
oct131331760220
933873761181
1012002517136
1150aa120855
1223ab751154
13119383645c
1481c0b5248
154a3abb591
hex2cb67e090

12002517136 has 45 divisors (see below), whose sum is σ = 23695126923. Its totient is φ = 5889730560.

The previous prime is 12002517067. The next prime is 12002517193. The reversal of 12002517136 is 63171520021.

It is a happy number.

The square root of 12002517136 is 109556.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2678683536 + 9323833600 = 51756^2 + 96560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26731440 + ... + 26731888.

Almost surely, 212002517136 is an apocalyptic number.

12002517136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12002517136 is the 109556-th square number.

It is an amenable number.

12002517136 is a deficient number, since it is larger than the sum of its proper divisors (11692609787).

12002517136 is an frugal number, since it uses more digits than its factorization.

12002517136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 12002517136 in words is "twelve billion, two million, five hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 61 122 244 449 488 898 976 1796 3592 3721 7184 7442 14884 27389 29768 54778 59536 109556 201601 219112 403202 438224 806404 1612808 1670729 3225616 3341458 6682916 12297661 13365832 24595322 26731664 49190644 98381288 196762576 750157321 1500314642 3000629284 6001258568 12002517136