Search a number
-
+
69930835968 = 21337406499
BaseRepresentation
bin100000100100000110…
…0111110000000000000
320200111121012112122210
41001020030332000000
52121204243222333
652043100302120
75023644204150
oct1011014760000
9220447175583
1069930835968
1127726152114
1211677841940
13679600c4a6
143555770760
151c444eca63
hex104833e000

69930835968 has 112 divisors (see below), whose sum is σ = 213110064000. Its totient is φ = 19980189696.

The previous prime is 69930835943. The next prime is 69930836029. The reversal of 69930835968 is 86953803996.

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

It is a junction number, because it is equal to n+sod(n) for n = 69930835899 and 69930835908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31218 + ... + 375281.

Almost surely, 269930835968 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 69930835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555032000).

69930835968 is an abundant number, since it is smaller than the sum of its proper divisors (143179228032).

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

69930835968 is an equidigital number, since it uses as much as digits as its factorization.

69930835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406535 (or 406511 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 69930835968 in words is "sixty-nine billion, nine hundred thirty million, eight hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 21504 24576 28672 43008 57344 86016 172032 406499 812998 1219497 1625996 2438994 2845493 3251992 4877988 5690986 6503984 8536479 9755976 11381972 13007968 17072958 19511952 22763944 26015936 34145916 39023904 45527888 52031872 68291832 78047808 91055776 104063744 136583664 156095616 182111552 208127488 273167328 312191232 364223104 416254976 546334656 624382464 728446208 832509952 1092669312 1248764928 1456892416 1665019904 2185338624 2497529856 2913784832 3330039808 4370677248 4995059712 5827569664 8741354496 9990119424 11655139328 17482708992 23310278656 34965417984 69930835968