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34972359984 = 243380954537
BaseRepresentation
bin100000100100100000…
…111101110100110000
310100021021122221222000
4200210200331310300
51033110411004414
624022135014000
72345435104122
oct404440756460
9110237587860
1034972359984
1113916a92751
12694020a300
1333b4596c43
14199a993212
15d9a420b09
hex82483dd30

34972359984 has 40 divisors (see below), whose sum is σ = 100383627120. Its totient is φ = 11657453184.

The previous prime is 34972359977. The next prime is 34972360001. The reversal of 34972359984 is 48995327943.

34972359984 is a `hidden beast` number, since 3 + 497 + 2 + 3 + 59 + 98 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40476837 + ... + 40477700.

It is an arithmetic number, because the mean of its divisors is an integer number (2509590678).

Almost surely, 234972359984 is an apocalyptic number.

It is an amenable number.

34972359984 is an abundant number, since it is smaller than the sum of its proper divisors (65411267136).

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

34972359984 is a wasteful number, since it uses less digits than its factorization.

34972359984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80954554 (or 80954542 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 34972359984 in words is "thirty-four billion, nine hundred seventy-two million, three hundred fifty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 80954537 161909074 242863611 323818148 485727222 647636296 728590833 971454444 1295272592 1457181666 1942908888 2185772499 2914363332 3885817776 4371544998 5828726664 8743089996 11657453328 17486179992 34972359984