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34037006666670 = 23257172219313711
BaseRepresentation
bin1111011110100110110111…
…01100010000101110101110
311110111220110111221220112100
413233103123230100232232
513430130242201313140
6200220215054315530
710112043520024650
oct757233354205656
9143456414856470
1034037006666670
11a933016a14067
1239987247b8ba6
1315cb8a30cb287
148595855086d0
153e05a9a92530
hex1ef4dbb10bae

34037006666670 has 96 divisors (see below), whose sum is σ = 101139443758080. Its totient is φ = 7779817264320.

The previous prime is 34037006666647. The next prime is 34037006666791. The reversal of 34037006666670 is 7666660073043.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108341115 + ... + 108654825.

It is an arithmetic number, because the mean of its divisors is an integer number (1053535872480).

Almost surely, 234037006666670 is an apocalyptic number.

34037006666670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34037006666670 is an abundant number, since it is smaller than the sum of its proper divisors (67102437091410).

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

34037006666670 is a wasteful number, since it uses less digits than its factorization.

34037006666670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485950 (or 485947 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 34037006666670 in words is "thirty-four trillion, thirty-seven billion, six million, six hundred sixty-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 172219 313711 344438 516657 627422 861095 941133 1033314 1205533 1549971 1568555 1722190 1882266 2195977 2411066 2583285 2823399 3099942 3137110 3616599 4391954 4705665 5166570 5646798 6027665 6587931 7233198 7749855 9411330 10849797 10979885 12055330 13175862 14116995 15499710 18082995 19763793 21699594 21959770 28233990 32939655 36165990 39527586 54248985 65879310 98818965 108497970 197637930 54026994709 108053989418 162080984127 270134973545 324161968254 378188962963 486242952381 540269947090 756377925926 810404920635 972485904762 1134566888889 1620809841270 1890944814815 2269133777778 2431214761905 3403700666667 3781889629630 4862429523810 5672834444445 6807401333334 11345668888890 17018503333335 34037006666670