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6216145554048 = 273971511105201
BaseRepresentation
bin101101001110100111100…
…1001011100101010000000
3211000020221212112100210220
41122131033021130222000
51303321131230212143
621115354032223040
71211046611260263
oct132351711345200
924006855470726
106216145554048
111a87286124351
1284489269aa80
13361245638541
14176c122d0cda
15aba69aa4d83
hex5a74f25ca80

6216145554048 has 128 divisors (see below), whose sum is σ = 16792350771840. Its totient is φ = 2037104640000.

The previous prime is 6216145553999. The next prime is 6216145554103. The reversal of 6216145554048 is 8404555416126.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×62161455540482 (a number of 26 digits) contains 22 as substring.

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, 5071848 + ... + 6177048.

It is an arithmetic number, because the mean of its divisors is an integer number (131190240405).

Almost surely, 26216145554048 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 6216145554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396175385920).

6216145554048 is an abundant number, since it is smaller than the sum of its proper divisors (10576205217792).

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

6216145554048 is a wasteful number, since it uses less digits than its factorization.

6216145554048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105466 (or 1105454 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 6216145554048 in words is "six trillion, two hundred sixteen billion, one hundred forty-five million, five hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 151 192 194 291 302 384 388 453 582 604 776 906 1164 1208 1552 1812 2328 2416 3104 3624 4656 4832 6208 7248 9312 9664 12416 14496 14647 18624 19328 28992 29294 37248 43941 57984 58588 87882 117176 175764 234352 351528 468704 703056 937408 1105201 1406112 1874816 2210402 2812224 3315603 4420804 5624448 6631206 8841608 13262412 17683216 26524824 35366432 53049648 70732864 106099296 107204497 141465728 166885351 212198592 214408994 321613491 333770702 424397184 428817988 500656053 643226982 667541404 857635976 1001312106 1286453964 1335082808 1715271952 2002624212 2572907928 2670165616 3430543904 4005248424 5145815856 5340331232 6861087808 8010496848 10291631712 10680662464 13722175616 16020993696 16187879047 20583263424 21361324928 32041987392 32375758094 41166526848 48563637141 64083974784 64751516188 97127274282 129503032376 194254548564 259006064752 388509097128 518012129504 777018194256 1036024259008 1554036388512 2072048518016 3108072777024 6216145554048