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398115055552 = 2643317456353
BaseRepresentation
bin1011100101100011000…
…00011010011111000000
31102001121022201021022111
411302301200122133000
523010314423234202
6502520323145104
740522443065104
oct5626140323700
91361538637274
10398115055552
1114392662a775
12651a7b15194
132b707c794b6
14153a9ad7904
15a5511b16d7
hex5cb181a7c0

398115055552 has 56 divisors (see below), whose sum is σ = 810933756336. Its totient is φ = 193814519808.

The previous prime is 398115055489. The next prime is 398115055553. The reversal of 398115055552 is 255550511893.

It is a junction number, because it is equal to n+sod(n) for n = 398115055496 and 398115055505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398115055553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644208 + ... + 1100560.

Almost surely, 2398115055552 is an apocalyptic number.

398115055552 is a gapful number since it is divisible by the number (32) 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 398115055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405466878168).

398115055552 is an abundant number, since it is smaller than the sum of its proper divisors (412818700784).

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

398115055552 is a wasteful number, since it uses less digits than its factorization.

398115055552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456725 (or 456715 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 49.

The spelling of 398115055552 in words is "three hundred ninety-eight billion, one hundred fifteen million, fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 317 344 634 688 1268 1376 2536 2752 5072 10144 13631 20288 27262 54524 109048 218096 436192 456353 872384 912706 1825412 3650824 7301648 14603296 19623179 29206592 39246358 78492716 144663901 156985432 289327802 313970864 578655604 627941728 1157311208 1255883456 2314622416 4629244832 6220547743 9258489664 12441095486 24882190972 49764381944 99528763888 199057527776 398115055552