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19806621696 = 212327332
BaseRepresentation
bin10010011100100100…
…010001000000000000
31220010100122122002100
4102130210101000000
5311030443343241
613033220350400
71300553335521
oct223444210000
956110578070
1019806621696
11844435a044
123a09245400
131b385cb5c4
14d5c748848
157adcbd9b6
hex49c911000

19806621696 has 117 divisors (see below), whose sum is σ = 57290303109. Its totient is φ = 6593200128.

The previous prime is 19806621691. The next prime is 19806621721. The reversal of 19806621696 is 69612660891.

It is a happy number.

The square root of 19806621696 is 140736.

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

19806621696 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 6 + 621 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19376640000 + 429981696 = 139200^2 + 20736^2 .

It is not an unprimeable number, because it can be changed into a prime (19806621691) 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, 27020946 + ... + 27021678.

Almost surely, 219806621696 is an apocalyptic number.

19806621696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19806621696 is the 140736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19806621696

19806621696 is an abundant number, since it is smaller than the sum of its proper divisors (37483681413).

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

19806621696 is an frugal number, since it uses more digits than its factorization.

19806621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 19806621696 in words is "nineteen billion, eight hundred six million, six hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 733 768 1024 1152 1466 1536 2048 2199 2304 2932 3072 4096 4398 4608 5864 6144 6597 8796 9216 11728 12288 13194 17592 18432 23456 26388 35184 36864 46912 52776 70368 93824 105552 140736 187648 211104 281472 375296 422208 537289 562944 750592 844416 1074578 1125888 1501184 1611867 1688832 2149156 2251776 3002368 3223734 3377664 4298312 4503552 4835601 6447468 6755328 8596624 9007104 9671202 12894936 13510656 17193248 19342404 25789872 27021312 34386496 38684808 51579744 68772992 77369616 103159488 137545984 154739232 206318976 275091968 309478464 412637952 550183936 618956928 825275904 1100367872 1237913856 1650551808 2200735744 2475827712 3301103616 4951655424 6602207232 9903310848 19806621696