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20704178976 = 2531323716997
BaseRepresentation
bin10011010010000100…
…001011001100100000
31222102220120021012120
4103102010023030200
5314400232211401
613302242224240
71332032421555
oct232204131440
958386507176
1020704178976
118864a73118
124019955080
131c4c54b1a0
141005a2aa2c
158129b6836
hex4d210b320

20704178976 has 96 divisors (see below), whose sum is σ = 58562175168. Its totient is φ = 6366919680.

The previous prime is 20704178953. The next prime is 20704178983. The reversal of 20704178976 is 67987140702.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955510 + ... + 2962506.

It is an arithmetic number, because the mean of its divisors is an integer number (610022658).

Almost surely, 220704178976 is an apocalyptic number.

20704178976 is a gapful number since it is divisible by the number (26) 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 20704178976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29281087584).

20704178976 is an abundant number, since it is smaller than the sum of its proper divisors (37857996192).

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

20704178976 is a wasteful number, since it uses less digits than its factorization.

20704178976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9394 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 20704178976 in words is "twenty billion, seven hundred four million, one hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2371 4742 6997 7113 9484 13994 14226 18968 20991 27988 28452 30823 37936 41982 55976 56904 61646 75872 83964 90961 92469 111952 113808 123292 167928 181922 184938 223904 227616 246584 272883 335856 363844 369876 493168 545766 671712 727688 739752 986336 1091532 1455376 1479504 2183064 2910752 2959008 4366128 8732256 16589887 33179774 49769661 66359548 99539322 132719096 199078644 215668531 265438192 398157288 431337062 530876384 647005593 796314576 862674124 1294011186 1592629152 1725348248 2588022372 3450696496 5176044744 6901392992 10352089488 20704178976