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11172948160 = 2651131310141
BaseRepresentation
bin10100110011111010…
…11010100011000000
31001211122212120111211
422121331122203000
5140340233320120
65044403015504
7543606330613
oct123175324300
931748776454
1011172948160
114813924360
1221b996a594
1310909cc83a
1477dc5017a
15455d5325a
hex299f5a8c0

11172948160 has 112 divisors (see below), whose sum is σ = 29119872672. Its totient is φ = 4049510400.

The previous prime is 11172948133. The next prime is 11172948187. The reversal of 11172948160 is 6184927111.

It is an interprime number because it is at equal distance from previous prime (11172948133) and next prime (11172948187).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096690 + ... + 1106830.

Almost surely, 211172948160 is an apocalyptic number.

11172948160 is a gapful number since it is divisible by the number (10) 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 11172948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559936336).

11172948160 is an abundant number, since it is smaller than the sum of its proper divisors (17946924512).

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

11172948160 is a wasteful number, since it uses less digits than its factorization.

11172948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10472 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 11172948160 in words is "eleven billion, one hundred seventy-two million, nine hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 313 320 352 440 626 704 880 1252 1565 1760 2504 3130 3443 3520 5008 6260 6886 10016 10141 12520 13772 17215 20032 20282 25040 27544 34430 40564 50080 50705 55088 68860 81128 100160 101410 110176 111551 137720 162256 202820 220352 223102 275440 324512 405640 446204 550880 557755 649024 811280 892408 1101760 1115510 1622560 1784816 2231020 3174133 3245120 3569632 4462040 6348266 7139264 8924080 12696532 15870665 17848160 25393064 31741330 34915463 35696320 50786128 63482660 69830926 101572256 126965320 139661852 174577315 203144512 253930640 279323704 349154630 507861280 558647408 698309260 1015722560 1117294816 1396618520 2234589632 2793237040 5586474080 11172948160