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3923421696 = 29322337019
BaseRepresentation
bin1110100111011010…
…1010101000000000
3101010102121110202200
43221312222220000
531013343443241
61445152313200
7166140351135
oct35166525000
911112543680
103923421696
11173373a877
12915b42800
134a6abb8cc
142930dc58c
1517e69a4b6
hexe9daaa00

3923421696 has 120 divisors (see below), whose sum is σ = 11815895520. Its totient is φ = 1250912256.

The previous prime is 3923421641. The next prime is 3923421709. The reversal of 3923421696 is 6961243293.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87475 + ... + 124493.

It is an arithmetic number, because the mean of its divisors is an integer number (98465796).

Almost surely, 23923421696 is an apocalyptic number.

3923421696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3923421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907947760).

3923421696 is an abundant number, since it is smaller than the sum of its proper divisors (7892473824).

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

3923421696 is a wasteful number, since it uses less digits than its factorization.

3923421696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37066 (or 37047 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3923421696 is about 62637.2229269466. Note that the first 3 decimals coincide. The cubic root of 3923421696 is about 1577.2056703761.

The spelling of 3923421696 in words is "three billion, nine hundred twenty-three million, four hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 13248 17664 26496 35328 37019 52992 74038 105984 111057 148076 222114 296152 333171 444228 592304 666342 851437 888456 1184608 1332684 1702874 1776912 2369216 2554311 2665368 3405748 3553824 4738432 5108622 5330736 6811496 7107648 7662933 9476864 10217244 10661472 13622992 14215296 15325866 18953728 20434488 21322944 27245984 28430592 30651732 40868976 42645888 54491968 56861184 61303464 81737952 85291776 108983936 122606928 163475904 170583552 217967872 245213856 326951808 435935744 490427712 653903616 980855424 1307807232 1961710848 3923421696