Search a number
-
+
6970028032 = 21211372113
BaseRepresentation
bin1100111110111001…
…00011000000000000
3122222202100002222101
412133130203000000
5103233311344112
63111343520144
7334503155302
oct63734430000
918882302871
106970028032
112a57443250
1214262b9054
13871040956
144a1997972
152abd98757
hex19f723000

6970028032 has 156 divisors (see below), whose sum is σ = 15765840216. Its totient is φ = 3055288320.

The previous prime is 6970027993. The next prime is 6970028053. The reversal of 6970028032 is 2308200796.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 6970027982 and 6970028000.

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 11 ways as a sum of consecutive naturals, for example, 61681608 + ... + 61681720.

Almost surely, 26970028032 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 6970028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882920108).

6970028032 is an abundant number, since it is smaller than the sum of its proper divisors (8795812184).

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

6970028032 is a wasteful number, since it uses less digits than its factorization.

6970028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 6970028032 is about 83486.6937421767. The cubic root of 6970028032 is about 1910.1970714852.

The spelling of 6970028032 in words is "six billion, nine hundred seventy million, twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 113 128 148 176 226 256 296 352 407 452 512 592 704 814 904 1024 1184 1243 1369 1408 1628 1808 2048 2368 2486 2738 2816 3256 3616 4096 4181 4736 4972 5476 5632 6512 7232 8362 9472 9944 10952 11264 13024 14464 15059 16724 18944 19888 21904 22528 26048 28928 30118 33448 37888 39776 43808 45056 45991 52096 57856 60236 66896 75776 79552 87616 91982 104192 115712 120472 133792 151552 154697 159104 175232 183964 208384 231424 240944 267584 309394 318208 350464 367928 416768 462848 481888 535168 618788 636416 700928 735856 833536 963776 1070336 1237576 1272832 1401856 1471712 1667072 1701667 1927552 2140672 2475152 2545664 2803712 2943424 3403334 3855104 4281344 4950304 5091328 5607424 5886848 6806668 7710208 8562688 9900608 11773696 13613336 15420416 17125376 19801216 23547392 27226672 30840832 39602432 47094784 54453344 61681664 79204864 94189568 108906688 158409728 188379136 217813376 316819456 435626752 633638912 871253504 1742507008 3485014016 6970028032