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4977834971976 = 2332107862774897
BaseRepresentation
bin100100001101111111000…
…0101011101001101001000
3122121212122212201001001100
41020123332011131031020
51123024101223100401
614330441423021400
71022431251063156
oct110337605351510
918555585631040
104977834971976
11164a0a7084989
126848a2a3a860
132a153bcb1079
14132cddb283d6
1589741895b86
hex486fe15d348

4977834971976 has 96 divisors (see below), whose sum is σ = 13609392020640. Its totient is φ = 1643558567424.

The previous prime is 4977834971959. The next prime is 4977834972037. The reversal of 4977834971976 is 6791794387794.

4977834971976 is a `hidden beast` number, since 49 + 7 + 7 + 8 + 3 + 497 + 19 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4977834971895 and 4977834971904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66424960 + ... + 66499856.

It is an arithmetic number, because the mean of its divisors is an integer number (141764500215).

Almost surely, 24977834971976 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 4977834971976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804696010320).

4977834971976 is an abundant number, since it is smaller than the sum of its proper divisors (8631557048664).

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

4977834971976 is a wasteful number, since it uses less digits than its factorization.

4977834971976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83643 (or 83636 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 81.

The spelling of 4977834971976 in words is "four trillion, nine hundred seventy-seven billion, eight hundred thirty-four million, nine hundred seventy-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 8627 17254 25881 34508 51762 69016 74897 77643 103524 149794 155286 207048 224691 299588 310572 449382 599176 621144 674073 898764 923089 1348146 1797528 1846178 2696292 2769267 3692356 5392584 5538534 7384712 8013979 8307801 11077068 16027958 16615602 22154136 24041937 32055916 33231204 48083874 64111832 66462408 72125811 96167748 144251622 192335496 288503244 577006488 646136419 1292272838 1938409257 2584545676 3876818514 5169091352 5815227771 7753637028 11630455542 15507274056 23260911084 46521822168 69136596833 138273193666 207409790499 276546387332 414819580998 553092774664 622229371497 829639161996 1244458742994 1659278323992 2488917485988 4977834971976