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34217100972 = 22332831119523
BaseRepresentation
bin11111110111011111…
…111000011010101100
310021022122111211101000
4133313133320122230
51030034034212342
623415155120300
72320634362605
oct376737703254
9107278454330
1034217100972
111356973044a
12676b2a3090
1332c3c7a812
141928552dac
15d53e8544c
hex7f77f86ac

34217100972 has 48 divisors (see below), whose sum is σ = 89024548480. Its totient is φ = 11365387344.

The previous prime is 34217100971. The next prime is 34217100997. The reversal of 34217100972 is 27900171243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34217100971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529198 + ... + 590325.

Almost surely, 234217100972 is an apocalyptic number.

It is an amenable number.

34217100972 is an abundant number, since it is smaller than the sum of its proper divisors (54807447508).

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

34217100972 is a wasteful number, since it uses less digits than its factorization.

34217100972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119819 (or 1119811 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 34217100972 in words is "thirty-four billion, two hundred seventeen million, one hundred thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 283 566 849 1132 1698 2547 3396 5094 7641 10188 15282 30564 1119523 2239046 3358569 4478092 6717138 10075707 13434276 20151414 30227121 40302828 60454242 120908484 316825009 633650018 950475027 1267300036 1900950054 2851425081 3801900108 5702850162 8554275243 11405700324 17108550486 34217100972