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12493874176 = 210724992
BaseRepresentation
bin10111010001011000…
…10110010000000000
31012020201102120100121
423220230112100000
5201041412433201
65423431030024
7621416115100
oct135054262000
935221376317
1012493874176
115331514653
12250820b314
131241583574
1486745b200
154d1cc89a1
hex2e8b16400

12493874176 has 99 divisors (see below), whose sum is σ = 29111527179. Its totient is φ = 5343787008.

The previous prime is 12493874171. The next prime is 12493874179. The reversal of 12493874176 is 67147839421.

It is a happy number.

The square root of 12493874176 is 111776.

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

It is not an unprimeable number, because it can be changed into a prime (12493874171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25037575 + ... + 25038073.

Almost surely, 212493874176 is an apocalyptic number.

12493874176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12493874176 is the 111776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12493874176

12493874176 is an abundant number, since it is smaller than the sum of its proper divisors (16617653003).

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

12493874176 is an frugal number, since it uses more digits than its factorization.

12493874176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 508 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The spelling of 12493874176 in words is "twelve billion, four hundred ninety-three million, eight hundred seventy-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 499 512 784 896 998 1024 1568 1792 1996 3136 3493 3584 3992 6272 6986 7168 7984 12544 13972 15968 24451 25088 27944 31936 48902 50176 55888 63872 97804 111776 127744 195608 223552 249001 255488 391216 447104 498002 510976 782432 894208 996004 1564864 1743007 1788416 1992008 3129728 3486014 3576832 3984016 6259456 6972028 7968032 12201049 12518912 13944056 15936064 24402098 25037824 27888112 31872128 48804196 55776224 63744256 97608392 111552448 127488512 195216784 223104896 254977024 390433568 446209792 780867136 892419584 1561734272 1784839168 3123468544 6246937088 12493874176