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118853941504 = 282927432
BaseRepresentation
bin110111010110000111…
…1110011100100000000
3102100210010122210210111
41232230033303210000
53421403102112004
6130333432241104
711405211555664
oct1565417634400
9370703583714
10118853941504
1146450a51441
121b04bb40194
13b29192b34c
145a770588a4
153159572a04
hex1bac3f3900

118853941504 has 81 divisors (see below), whose sum is σ = 246037661233. Its totient is φ = 57300540416.

The previous prime is 118853941501. The next prime is 118853941529. The reversal of 118853941504 is 405149358811.

The square root of 118853941504 is 344752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 62324123904 + 56529817600 = 249648^2 + 237760^2 .

It is a super-2 number, since 2×1188539415042 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118853941501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 159964557 + ... + 159965299.

Almost surely, 2118853941504 is an apocalyptic number.

118853941504 is the 344752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118853941504

118853941504 is an abundant number, since it is smaller than the sum of its proper divisors (127183719729).

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

118853941504 is an frugal number, since it uses more digits than its factorization.

118853941504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

Multiplying 118853941504 by its sum of digits (49), we get a square (5823843133696 = 24132642).

The spelling of 118853941504 in words is "one hundred eighteen billion, eight hundred fifty-three million, nine hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 743 841 928 1486 1682 1856 2972 3364 3712 5944 6728 7424 11888 13456 21547 23776 26912 43094 47552 53824 86188 95104 107648 172376 190208 215296 344752 552049 624863 689504 1104098 1249726 1379008 2208196 2499452 2758016 4416392 4998904 5516032 8832784 9997808 16009421 17665568 19995616 32018842 35331136 39991232 64037684 70662272 79982464 128075368 141324544 159964928 256150736 464273209 512301472 928546418 1024602944 1857092836 2049205888 3714185672 4098411776 7428371344 14856742688 29713485376 59426970752 118853941504