Search a number
-
+
16345919952 = 2432539112351
BaseRepresentation
bin11110011100100101…
…01111000111010000
31120012011201202202200
433032102233013100
5231434023414302
611301553443200
71116032012205
oct171622570720
946164652680
1016345919952
116a2893365a
123202270500
1317066412ab
14b10c99cac
1565a07581c
hex3ce4af1d0

16345919952 has 120 divisors (see below), whose sum is σ = 46680012288. Its totient is φ = 5337696000.

The previous prime is 16345919929. The next prime is 16345919999. The reversal of 16345919952 is 25991954361.

16345919952 is a `hidden beast` number, since 16 + 34 + 591 + 9 + 9 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6951577 + ... + 6953927.

Almost surely, 216345919952 is an apocalyptic number.

16345919952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16345919952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340006144).

16345919952 is an abundant number, since it is smaller than the sum of its proper divisors (30334092336).

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

16345919952 is a wasteful number, since it uses less digits than its factorization.

16345919952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3320 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 16345919952 in words is "sixteen billion, three hundred forty-five million, nine hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 911 954 1272 1822 1908 2351 2544 2733 3644 3816 4702 5466 7053 7288 7632 8199 9404 10932 14106 14576 16398 18808 21159 21864 28212 32796 37616 42318 43728 48283 56424 65592 84636 96566 112848 124603 131184 144849 169272 193132 249206 289698 338544 373809 386264 434547 498412 579396 747618 772528 869094 996824 1121427 1158792 1495236 1738188 1993648 2141761 2242854 2317584 2990472 3476376 4283522 4485708 5980944 6425283 6952752 8567044 8971416 12850566 17134088 17942832 19275849 25701132 34268176 38551698 51402264 77103396 102804528 113513333 154206792 227026666 308413584 340539999 454053332 681079998 908106664 1021619997 1362159996 1816213328 2043239994 2724319992 4086479988 5448639984 8172959976 16345919952