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20764895616 = 273417117811
BaseRepresentation
bin10011010101101011…
…110010100110000000
31222121010210222210000
4103111223302212000
5320011303124431
613312251440000
71333400462163
oct232553624600
958533728700
1020764895616
118896273463
124036156000
131c5bcb93aa
14100db13ada
15817eab9e6
hex4d5af2980

20764895616 has 160 divisors (see below), whose sum is σ = 65431606680. Its totient is φ = 6514421760.

The previous prime is 20764895611. The next prime is 20764895623. The reversal of 20764895616 is 61659846702.

20764895616 is a `hidden beast` number, since 2 + 0 + 76 + 4 + 8 + 9 + 561 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20764895611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117351 + ... + 235161.

Almost surely, 220764895616 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 20764895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32715803340).

20764895616 is an abundant number, since it is smaller than the sum of its proper divisors (44666711064).

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

20764895616 is a wasteful number, since it uses less digits than its factorization.

20764895616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117854 (or 117833 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20764895616 in words is "twenty billion, seven hundred sixty-four million, eight hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 29376 44064 58752 88128 117811 176256 235622 353433 471244 706866 942488 1060299 1413732 1884976 2002787 2120598 2827464 3180897 3769952 4005574 4241196 5654928 6008361 6361794 7539904 8011148 8482392 9542691 11309856 12016722 12723588 15079808 16022296 16964784 18025083 19085382 22619712 24033444 25447176 32044592 33929568 36050166 38170764 45239424 48066888 50894352 54075249 64089184 67859136 72100332 76341528 96133776 101788704 108150498 128178368 135718272 144200664 152683056 162225747 192267552 203577408 216300996 256356736 288401328 305366112 324451494 384535104 407154816 432601992 576802656 610732224 648902988 769070208 865203984 1153605312 1221464448 1297805976 1730407968 2307210624 2595611952 3460815936 5191223904 6921631872 10382447808 20764895616