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4971156160 = 26547383863
BaseRepresentation
bin1001010000100110…
…11101001011000000
3110211110002220020211
410220103131023000
540140103444120
62141141043504
7234122062435
oct45023351300
913743086224
104971156160
1121210a7223
12b689b6594
13612b9cc29
14352313b8c
151e165a25a
hex1284dd2c0

4971156160 has 112 divisors (see below), whose sum is σ = 12135038976. Its totient is φ = 1938824192.

The previous prime is 4971156139. The next prime is 4971156161. The reversal of 4971156160 is 616511794.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4971156161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5759889 + ... + 5760751.

Almost surely, 24971156160 is an apocalyptic number.

4971156160 is a gapful number since it is divisible by the number (40) 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 4971156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067519488).

4971156160 is an abundant number, since it is smaller than the sum of its proper divisors (7163882816).

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

4971156160 is a wasteful number, since it uses less digits than its factorization.

4971156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 4971156160 is about 70506.4263737711. The cubic root of 4971156160 is about 1706.6814519661.

The spelling of 4971156160 in words is "four billion, nine hundred seventy-one million, one hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 383 470 752 766 863 940 1504 1532 1726 1880 1915 3008 3064 3452 3760 3830 4315 6128 6904 7520 7660 8630 12256 13808 15040 15320 17260 18001 24512 27616 30640 34520 36002 40561 55232 61280 69040 72004 81122 90005 122560 138080 144008 162244 180010 202805 276160 288016 324488 330529 360020 405610 576032 648976 661058 720040 811220 1152064 1297952 1322116 1440080 1622440 1652645 2595904 2644232 2880160 3244880 3305290 5288464 5760320 6489760 6610580 10576928 12979520 13221160 15534863 21153856 26442320 31069726 52884640 62139452 77674315 105769280 124278904 155348630 248557808 310697260 497115616 621394520 994231232 1242789040 2485578080 4971156160