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4977603072 = 29321383093
BaseRepresentation
bin1001010001011000…
…00011001000000000
3110211220020102202100
410220230003020000
540143231244242
62141531150400
7234230633211
oct45054031000
913756212670
104977603072
1121247aa952
12b6aba5400
13614319480
14353111408
151e1ed054c
hex128b03200

4977603072 has 120 divisors (see below), whose sum is σ = 15470939484. Its totient is φ = 1531551744.

The previous prime is 4977603041. The next prime is 4977603089. The reversal of 4977603072 is 2703067794.

It is a happy number.

4977603072 is a `hidden beast` number, since 497 + 7 + 60 + 30 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4731238656 + 246364416 = 68784^2 + 15696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18358 + ... + 101450.

Almost surely, 24977603072 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 4977603072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735469742).

4977603072 is an abundant number, since it is smaller than the sum of its proper divisors (10493336412).

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

4977603072 is a wasteful number, since it uses less digits than its factorization.

4977603072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83130 (or 83111 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 4977603072 is about 70552.1301733690. The cubic root of 4977603072 is about 1707.4189110075.

The spelling of 4977603072 in words is "four billion, nine hundred seventy-seven million, six hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 83093 166186 249279 332372 498558 664744 747837 997116 1080209 1329488 1495674 1994232 2160418 2658976 2991348 3240627 3988464 4320836 5317952 5982696 6481254 7976928 8641672 9721881 10635904 11965392 12962508 15953856 17283344 19443762 21271808 23930784 25925016 31907712 34566688 38887524 42543616 47861568 51850032 63815424 69133376 77775048 95723136 103700064 127630848 138266752 155550096 191446272 207400128 276533504 311100192 382892544 414800256 553067008 622200384 829600512 1244400768 1659201024 2488801536 4977603072