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677438508152 = 23719163335687
BaseRepresentation
bin10011101101110100111…
…10110100110001111000
32101202120212001212020202
421312322132310301320
542044343224230102
61235113322141332
766641362211240
oct11667236646170
92352525055222
10677438508152
1124133341696a
12ab360951848
134bb611b2b73
1424b06b62b20
151294d515e02
hex9dba7b4c78

677438508152 has 32 divisors (see below), whose sum is σ = 1459254251520. Its totient is φ = 288810728160.

The previous prime is 677438508151. The next prime is 677438508157. The reversal of 677438508152 is 251805834776.

It is a super-3 number, since 3×6774385081523 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677438508151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31657148 + ... + 31678539.

It is an arithmetic number, because the mean of its divisors is an integer number (45601695360).

Almost surely, 2677438508152 is an apocalyptic number.

It is an amenable number.

677438508152 is an abundant number, since it is smaller than the sum of its proper divisors (781815743368).

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

677438508152 is a wasteful number, since it uses less digits than its factorization.

677438508152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63335891 (or 63335887 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 677438508152 in words is "six hundred seventy-seven billion, four hundred thirty-eight million, five hundred eight thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 191 382 764 1337 1528 2674 5348 10696 63335687 126671374 253342748 443349809 506685496 886699618 1773399236 3546798472 12097116217 24194232434 48388464868 84679813519 96776929736 169359627038 338719254076 677438508152