Search a number
-
+
9955669943952 = 2432107862774897
BaseRepresentation
bin1001000011011111110000…
…1010111010011010010000
31022020202022202102002002200
42100313330022322122100
52301103203001201302
633101323250043200
72045162532156345
oct220677412723220
938222282362080
109955669943952
1131991a3159867
121149585879500
13572a7ac92125
14265bdd8527cc
15123e8323b81c
hex90dfc2ba690

9955669943952 has 120 divisors (see below), whose sum is σ = 28126076842656. Its totient is φ = 3287117134848.

The previous prime is 9955669943783. The next prime is 9955669943959. The reversal of 9955669943952 is 2593499665599.

9955669943952 is a `hidden beast` number, since 9 + 9 + 5 + 566 + 9 + 9 + 43 + 9 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (9955669943959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132887368 + ... + 132962264.

Almost surely, 29955669943952 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 9955669943952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063038421328).

9955669943952 is an abundant number, since it is smaller than the sum of its proper divisors (18170406898704).

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

9955669943952 is a wasteful number, since it uses less digits than its factorization.

9955669943952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83645 (or 83636 counting only the distinct ones).

The product of its digits is 6377292000, while the sum is 81.

The spelling of 9955669943952 in words is "nine trillion, nine hundred fifty-five billion, six hundred sixty-nine million, nine hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 8627 15408 17254 25881 34508 51762 69016 74897 77643 103524 138032 149794 155286 207048 224691 299588 310572 414096 449382 599176 621144 674073 898764 923089 1198352 1242288 1348146 1797528 1846178 2696292 2769267 3595056 3692356 5392584 5538534 7384712 8013979 8307801 10785168 11077068 14769424 16027958 16615602 22154136 24041937 32055916 33231204 44308272 48083874 64111832 66462408 72125811 96167748 128223664 132924816 144251622 192335496 288503244 384670992 577006488 646136419 1154012976 1292272838 1938409257 2584545676 3876818514 5169091352 5815227771 7753637028 10338182704 11630455542 15507274056 23260911084 31014548112 46521822168 69136596833 93043644336 138273193666 207409790499 276546387332 414819580998 553092774664 622229371497 829639161996 1106185549328 1244458742994 1659278323992 2488917485988 3318556647984 4977834971976 9955669943952