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3922102368 = 2532172273529
BaseRepresentation
bin1110100111000110…
…1000100001100000
3101010100010102222200
43221301220201200
531013024233433
61445104133200
7166123214532
oct35161504140
911110112880
103922102368
111732a19618
12915607200
134a6749242
14292c77852
1517e4d9613
hexe9c68860

3922102368 has 144 divisors (see below), whose sum is σ = 11864951280. Its totient is φ = 1224695808.

The previous prime is 3922102357. The next prime is 3922102391. The reversal of 3922102368 is 8632012293.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1109628 + ... + 1113156.

It is an arithmetic number, because the mean of its divisors is an integer number (82395495).

Almost surely, 23922102368 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 3922102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932475640).

3922102368 is an abundant number, since it is smaller than the sum of its proper divisors (7942848912).

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

3922102368 is a wasteful number, since it uses less digits than its factorization.

3922102368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3922102368 is about 62626.6905400565. The cubic root of 3922102368 is about 1577.0288617084.

The spelling of 3922102368 in words is "three billion, nine hundred twenty-two million, one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 227 272 288 306 408 454 544 612 681 816 908 1224 1362 1632 1816 2043 2448 2724 3529 3632 3859 4086 4896 5448 7058 7264 7718 8172 10587 10896 11577 14116 15436 16344 21174 21792 23154 28232 30872 31761 32688 34731 42348 46308 56464 59993 61744 63522 65376 69462 84696 92616 112928 119986 123488 127044 138924 169392 179979 185232 239972 254088 277848 338784 359958 370464 479944 508176 539937 555696 719916 801083 959888 1016352 1079874 1111392 1439832 1602166 1919776 2159748 2403249 2879664 3204332 4319496 4806498 5759328 6408664 7209747 8638992 9612996 12817328 13618411 14419494 17277984 19225992 25634656 27236822 28838988 38451984 40855233 54473644 57677976 76903968 81710466 108947288 115355952 122565699 163420932 217894576 230711904 245131398 326841864 435789152 490262796 653683728 980525592 1307367456 1961051184 3922102368