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34764625152 = 283215088813
BaseRepresentation
bin100000011000001000…
…100001010100000000
310022201210202221100100
4200120020201110000
51032144221001102
623545354322400
72340333303165
oct403010412400
9108653687310
1034764625152
111381a7a7474
1268a2729400
13338053211a
14197b15a06c
15d87089a1c
hex818221500

34764625152 has 54 divisors (see below), whose sum is σ = 100234991402. Its totient is φ = 11588207616.

The previous prime is 34764625141. The next prime is 34764625153. The reversal of 34764625152 is 25152646743.

34764625152 is a `hidden beast` number, since 3 + 4 + 7 + 6 + 4 + 625 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22384947456 + 12379677696 = 149616^2 + 111264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34764625098 and 34764625107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34764625153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7542103 + ... + 7546710.

Almost surely, 234764625152 is an apocalyptic number.

34764625152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34764625152 is an abundant number, since it is smaller than the sum of its proper divisors (65470366250).

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

34764625152 is a wasteful number, since it uses less digits than its factorization.

34764625152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15088835 (or 15088818 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 34764625152 in words is "thirty-four billion, seven hundred sixty-four million, six hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 15088813 30177626 45266439 60355252 90532878 120710504 135799317 181065756 241421008 271598634 362131512 482842016 543197268 724263024 965684032 1086394536 1448526048 1931368064 2172789072 2897052096 3862736128 4345578144 5794104192 8691156288 11588208384 17382312576 34764625152