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152676315104 = 2517972128871
BaseRepresentation
bin1000111000110000110…
…1111010111111100000
3112121002021102102000012
42032030031322333200
510000140114040404
6154045531144052
714013314160125
oct2161415727740
9477067372005
10152676315104
1159827888315
122570aba5028
1311521b92471
147564dba74c
153e88a36a6e
hex238c37afe0

152676315104 has 48 divisors (see below), whose sum is σ = 318306524256. Its totient is φ = 71837798400.

The previous prime is 152676315101. The next prime is 152676315149. The reversal of 152676315104 is 401513676251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152676315101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5273789 + ... + 5302659.

It is an arithmetic number, because the mean of its divisors is an integer number (6631385922).

Almost surely, 2152676315104 is an apocalyptic number.

It is an amenable number.

152676315104 is an abundant number, since it is smaller than the sum of its proper divisors (165630209152).

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

152676315104 is a wasteful number, since it uses less digits than its factorization.

152676315104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38619 (or 38611 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 152676315104 in words is "one hundred fifty-two billion, six hundred seventy-six million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 9721 19442 28871 38884 57742 77768 115484 155536 165257 230968 311072 330514 461936 490807 661028 923872 981614 1322056 1963228 2644112 3926456 5288224 7852912 15705824 280654991 561309982 1122619964 2245239928 4490479856 4771134847 8980959712 9542269694 19084539388 38169078776 76338157552 152676315104