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3826171680 = 253567118973
BaseRepresentation
bin1110010000001110…
…1011111100100000
3100212122121122211020
43210003223330200
530313444443210
61431400045440
7163546631322
oct34403537440
910778548736
103826171680
111693857461
128a9463880
1348c8cba16
14284225612
15175d8a770
hexe40ebf20

3826171680 has 96 divisors (see below), whose sum is σ = 12232430784. Its totient is φ = 1005075456.

The previous prime is 3826171649. The next prime is 3826171681. The reversal of 3826171680 is 861716283.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3826171681) 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, 27327 + ... + 91646.

It is an arithmetic number, because the mean of its divisors is an integer number (127421154).

Almost surely, 23826171680 is an apocalyptic number.

3826171680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3826171680 is an abundant number, since it is smaller than the sum of its proper divisors (8406259104).

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

3826171680 is a wasteful number, since it uses less digits than its factorization.

3826171680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119058 (or 119050 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3826171680 is about 61856.0561303418. The cubic root of 3826171680 is about 1564.0650718713.

The spelling of 3826171680 in words is "three billion, eight hundred twenty-six million, one hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 32160 118973 237946 356919 475892 594865 713838 951784 1189730 1427676 1784595 1903568 2379460 2855352 3569190 3807136 4758920 5710704 7138380 7971191 9517840 11421408 14276760 15942382 19035680 23913573 28553520 31884764 39855955 47827146 57107040 63769528 79711910 95654292 119567865 127539056 159423820 191308584 239135730 255078112 318847640 382617168 478271460 637695280 765234336 956542920 1275390560 1913085840 3826171680