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4970686216840 = 235436755017841
BaseRepresentation
bin100100001010101001111…
…1111000111101010001000
3122121012012200001122120121
41020111103333013222020
51122414431132414330
614323300212233024
71022056144500361
oct110252377075210
918535180048517
104970686216840
111647068869393
1268342890b774
132a096cc23a46
14132822528b68
1589473e9617a
hex48553fc7a88

4970686216840 has 128 divisors (see below), whose sum is σ = 11618539067520. Its totient is φ = 1912458240000.

The previous prime is 4970686216819. The next prime is 4970686216849. The reversal of 4970686216840 is 486126860794.

It is not an unprimeable number, because it can be changed into a prime (4970686216849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633931320 + ... + 633939160.

It is an arithmetic number, because the mean of its divisors is an integer number (90769836465).

Almost surely, 24970686216840 is an apocalyptic number.

4970686216840 is a gapful number since it is divisible by the number (40) 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 4970686216840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809269533760).

4970686216840 is an abundant number, since it is smaller than the sum of its proper divisors (6647852850680).

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

4970686216840 is a wasteful number, since it uses less digits than its factorization.

4970686216840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 4970686216840 in words is "four trillion, nine hundred seventy billion, six hundred eighty-six million, two hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 67 86 134 172 215 268 335 344 430 536 670 860 1340 1720 2680 2881 5501 5762 7841 11002 11524 14405 15682 22004 23048 27505 28810 31364 39205 44008 55010 57620 62728 78410 110020 115240 156820 220040 236543 313640 337163 368567 473086 525347 674326 737134 946172 1050694 1182715 1348652 1474268 1685815 1842835 1892344 2101388 2365430 2626735 2697304 2948536 3371630 3685670 4202776 4730860 5253470 6743260 7371340 9461720 10506940 13486520 14742680 15848381 21013880 22589921 31696762 43133341 45179842 63393524 79241905 86266682 90359684 112949605 126787048 158483810 172533364 180719368 215666705 225899210 316967620 345066728 431333410 451798420 633935240 862666820 903596840 1725333640 1854733663 2889933847 3709467326 5779867694 7418934652 9273668315 11559735388 14449669235 14837869304 18547336630 23119470776 28899338470 37094673260 57798676940 74189346520 115597353880 124267155421 248534310842 497068621684 621335777105 994137243368 1242671554210 2485343108420 4970686216840