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153874672256 = 271202145877
BaseRepresentation
bin1000111101001110100…
…1010010101010000000
3112201011210100020222102
42033103221102222000
510010113404003011
6154404500125532
714055105063554
oct2172351225200
9481153306872
10153874672256
115a292271828
12259a43968a8
131168322cc36
14763a1dd864
154008d4a73b
hex23d3a52a80

153874672256 has 16 divisors (see below), whose sum is σ = 306547198890. Its totient is φ = 76937336064.

The previous prime is 153874672247. The next prime is 153874672261. The reversal of 153874672256 is 652276478351.

153874672256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127049473600 + 26825198656 = 356440^2 + 163784^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1538746722562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 601072811 + ... + 601073066.

Almost surely, 2153874672256 is an apocalyptic number.

153874672256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153874672256 is a deficient number, since it is larger than the sum of its proper divisors (152672526634).

153874672256 is an equidigital number, since it uses as much as digits as its factorization.

153874672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202145891 (or 1202145879 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 56.

The spelling of 153874672256 in words is "one hundred fifty-three billion, eight hundred seventy-four million, six hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 1202145877 2404291754 4808583508 9617167016 19234334032 38468668064 76937336128 153874672256