Search a number
-
+
19976561472 = 26373303337
BaseRepresentation
bin10010100110101100…
…100010001101000000
31220120012102110122010
4102212230202031000
5311402444431342
613102131012520
71305015654000
oct224654421500
956505373563
1019976561472
11852128033a
123a5613a140
131b6488c39a
14d77144000
157bdb8b29c
hex4a6b22340

19976561472 has 112 divisors (see below), whose sum is σ = 61638281600. Its totient is φ = 5707570176.

The previous prime is 19976561453. The next prime is 19976561489. The reversal of 19976561472 is 27416567991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85813 + ... + 217524.

It is an arithmetic number, because the mean of its divisors is an integer number (550341800).

Almost surely, 219976561472 is an apocalyptic number.

19976561472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19976561472 is an abundant number, since it is smaller than the sum of its proper divisors (41661720128).

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

19976561472 is an equidigital number, since it uses as much as digits as its factorization.

19976561472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303373 (or 303349 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 57.

The spelling of 19976561472 in words is "nineteen billion, nine hundred seventy-six million, five hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 303337 606674 910011 1213348 1820022 2123359 2426696 3640044 4246718 4853392 6370077 7280088 8493436 9706784 12740154 14560176 14863513 16986872 19413568 25480308 29120352 29727026 33973744 44590539 50960616 58240704 59454052 67947488 89181078 101921232 104044591 118908104 135894976 178362156 203842464 208089182 237816208 312133773 356724312 407684928 416178364 475632416 624267546 713448624 832356728 951264832 1248535092 1426897248 1664713456 2497070184 2853794496 3329426912 4994140368 6658853824 9988280736 19976561472