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34206936216 = 23319219872
BaseRepresentation
bin11111110110111001…
…000110110010011000
310021021221101101221120
4133312321012302120
51030023433424331
623414153205240
72320452106005
oct376671066230
9107257341846
1034206936216
1113563a18522
126767a00820
1332c1b2bc7b
1419270688ac
15d53128796
hex7f6e46c98

34206936216 has 72 divisors (see below), whose sum is σ = 90300589020. Its totient is φ = 10796753952.

The previous prime is 34206936107. The next prime is 34206936221. The reversal of 34206936216 is 61263960243.

It is a super-2 number, since 2×342069362162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17214375 + ... + 17216361.

Almost surely, 234206936216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34206936216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45150294510).

34206936216 is an abundant number, since it is smaller than the sum of its proper divisors (56093652804).

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

34206936216 is an equidigital number, since it uses as much as digits as its factorization.

34206936216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 34206936216 in words is "thirty-four billion, two hundred six million, nine hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 1987 2166 2888 3974 4332 5961 7948 8664 11922 15896 23844 37753 47688 75506 113259 151012 226518 302024 453036 717307 906072 1434614 2151921 2869228 3948169 4303842 5738456 7896338 8607684 11844507 15792676 17215368 23689014 31585352 47378028 75015211 94756056 150030422 225045633 300060844 450091266 600121688 900182532 1425289009 1800365064 2850578018 4275867027 5701156036 8551734054 11402312072 17103468108 34206936216