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153420772816 = 2416193592157
BaseRepresentation
bin1000111011100010010…
…1110011010111010000
3112200000011020210000001
42032320211303113100
510003201204212231
6154251443335344
714040624023563
oct2167045632720
9480004223001
10153420772816
115a07a032423
1225898381554
131161019939c
1475d5c084da
153ece08bb61
hex23b89735d0

153420772816 has 20 divisors (see below), whose sum is σ = 297271606212. Its totient is φ = 76705519616.

The previous prime is 153420772793. The next prime is 153420772871. The reversal of 153420772816 is 618277024351.

153420772816 is digitally balanced in base 2, 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 2 ways, for example, as 104445312400 + 48975460416 = 323180^2 + 221304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36991 + ... + 555166.

Almost surely, 2153420772816 is an apocalyptic number.

153420772816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153420772816 is a deficient number, since it is larger than the sum of its proper divisors (143850833396).

153420772816 is a wasteful number, since it uses less digits than its factorization.

153420772816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608358 (or 608352 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 153420772816 in words is "one hundred fifty-three billion, four hundred twenty million, seven hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 16193 32386 64772 129544 259088 592157 1184314 2368628 4737256 9474512 9588798301 19177596602 38355193204 76710386408 153420772816