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12574352064 = 2631031913329
BaseRepresentation
bin10111011010111110…
…10110001011000000
31012110022212021021010
423231133112023000
5201223013231224
65435424000520
7623414141361
oct135537261300
935408767233
1012574352064
1153729918aa
12252b160140
131255150311
14874009b68
154d8dc3e29
hex2ed7d62c0

12574352064 has 112 divisors (see below), whose sum is σ = 33778667520. Its totient is φ = 4127784960.

The previous prime is 12574352051. The next prime is 12574352071. The reversal of 12574352064 is 46025347521.

It is a super-2 number, since 2×125743520642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3775552 + ... + 3778880.

Almost surely, 212574352064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12574352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16889333760).

12574352064 is an abundant number, since it is smaller than the sum of its proper divisors (21204315456).

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

12574352064 is a wasteful number, since it uses less digits than its factorization.

12574352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 12574352064 its reverse (46025347521), we get a palindrome (58599699585).

The spelling of 12574352064 in words is "twelve billion, five hundred seventy-four million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 191 192 206 309 382 412 573 618 764 824 1146 1236 1528 1648 2292 2472 3056 3296 3329 4584 4944 6112 6592 6658 9168 9888 9987 12224 13316 18336 19673 19776 19974 26632 36672 39346 39948 53264 59019 78692 79896 106528 118038 157384 159792 213056 236076 314768 319584 342887 472152 629536 635839 639168 685774 944304 1028661 1259072 1271678 1371548 1888608 1907517 2057322 2543356 2743096 3777216 3815034 4114644 5086712 5486192 7630068 8229288 10173424 10972384 15260136 16458576 20346848 21944768 30520272 32917152 40693696 61040544 65491417 65834304 122081088 130982834 196474251 261965668 392948502 523931336 785897004 1047862672 1571794008 2095725344 3143588016 4191450688 6287176032 12574352064