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2044555136 = 27135397239
BaseRepresentation
bin111100111011101…
…0110111110000000
312021111012011101022
41321313112332000
513141401231021
6534513525012
7101444301101
oct17167267600
95244164338
102044555136
1195a109598
12490873768
13267777350
141557763a8
15be7641ab
hex79dd6f80

2044555136 has 128 divisors (see below), whose sum is σ = 4534185600. Its totient is φ = 912457728.

The previous prime is 2044555127. The next prime is 2044555141. The reversal of 2044555136 is 6315554402.

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

It is a junction number, because it is equal to n+sod(n) for n = 2044555096 and 2044555105.

It is a congruent number.

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, 8554505 + ... + 8554743.

It is an arithmetic number, because the mean of its divisors is an integer number (35423325).

Almost surely, 22044555136 is an apocalyptic number.

2044555136 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 2044555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267092800).

2044555136 is an abundant number, since it is smaller than the sum of its proper divisors (2489630464).

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

2044555136 is a wasteful number, since it uses less digits than its factorization.

2044555136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 2044555136 is about 45216.7572477284. The cubic root of 2044555136 is about 1269.2084132336.

The spelling of 2044555136 in words is "two billion, forty-four million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 97 104 106 128 194 208 212 239 388 416 424 478 689 776 832 848 956 1261 1378 1552 1664 1696 1912 2522 2756 3104 3107 3392 3824 5044 5141 5512 6208 6214 6784 7648 10088 10282 11024 12416 12428 12667 15296 20176 20564 22048 23183 24856 25334 30592 40352 41128 44096 46366 49712 50668 66833 80704 82256 88192 92732 99424 101336 133666 161408 164512 164671 185464 198848 202672 267332 301379 329024 329342 370928 397696 405344 534664 602758 658048 658684 741856 810688 1069328 1205516 1228699 1317368 1483712 1621376 2138656 2411032 2457398 2634736 2967424 4277312 4822064 4914796 5269472 8554624 9644128 9829592 10538944 15973087 19288256 19659184 21077888 31946174 38576512 39318368 63892348 78636736 127784696 157273472 255569392 511138784 1022277568 2044555136