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399929172552 = 233674134
BaseRepresentation
bin1011101000111011010…
…00101110001001001000
31102020021202021222000000
411310131220232021020
523023023332010202
6503420330043000
740615421610000
oct5643550561110
91366252258000
10399929172552
11144677656718
1265613579460
132b936a70000
14154dca07000
15a60a5a791c
hex5d1da2e248

399929172552 has 700 divisors, whose sum is σ = 1420884823695. Its totient is φ = 105475825728.

The previous prime is 399929172551. The next prime is 399929172569. The reversal of 399929172552 is 255271929993.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

399929172552 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 2 + 9 + 1 + 72 + 552 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7001316 + 399922171236 = 2646^2 + 632394^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=447174.

It is a super-3 number, since 3×3999291725523 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 399929172552 = 17943 + 73323 = 49143 + 65523.

Its product of digits (27556200) is a multiple of the sum of its prime divisors (25).

It is a self number, because there is not a number n which added to its sum of digits gives 399929172552.

It is not an unprimeable number, because it can be changed into a prime (399929172551) by changing a digit.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 30763782498 + ... + 30763782510.

Almost surely, 2399929172552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399929172552

399929172552 is an abundant number, since it is smaller than the sum of its proper divisors (1020955651143).

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

399929172552 is an frugal number, since it uses more digits than its factorization.

399929172552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 25 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 63.

The spelling of 399929172552 in words is "three hundred ninety-nine billion, nine hundred twenty-nine million, one hundred seventy-two thousand, five hundred fifty-two".