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56756486640 = 2435744376261
BaseRepresentation
bin110100110110111100…
…110100000111110000
312102111110100020212210
4310312330310013300
51412214130033030
642023520252120
74046323114350
oct646674640760
9172443306783
1056756486640
1122085614507
12abbb771040
135476794909
142a65bbcb60
151722b0bbb0
hexd36f341f0

56756486640 has 160 divisors (see below), whose sum is σ = 201536672256. Its totient is φ = 12943457280.

The previous prime is 56756486597. The next prime is 56756486729. The reversal of 56756486640 is 4668465765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706110 + ... + 782370.

Almost surely, 256756486640 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 56756486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100768336128).

56756486640 is an abundant number, since it is smaller than the sum of its proper divisors (144780185616).

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

56756486640 is a wasteful number, since it uses less digits than its factorization.

56756486640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76727 (or 76721 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 56756486640 in words is "fifty-six billion, seven hundred fifty-six million, four hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 443 560 840 886 1329 1680 1772 2215 2658 3101 3544 4430 5316 6202 6645 7088 8860 9303 10632 12404 13290 15505 17720 18606 21264 24808 26580 31010 35440 37212 46515 49616 53160 62020 74424 76261 93030 106320 124040 148848 152522 186060 228783 248080 305044 372120 381305 457566 533827 610088 744240 762610 915132 1067654 1143915 1220176 1525220 1601481 1830264 2135308 2287830 2669135 3050440 3202962 3660528 4270616 4575660 5338270 6100880 6405924 8007405 8541232 9151320 10676540 12811848 16014810 18302640 21353080 25623696 32029620 33783623 42706160 64059240 67567246 101350869 128118480 135134492 168918115 202701738 236485361 270268984 337836230 405403476 472970722 506754345 540537968 675672460 709456083 810806952 945941444 1013508690 1182426805 1351344920 1418912166 1621613904 1891882888 2027017380 2364853610 2702689840 2837824332 3547280415 3783765776 4054034760 4729707220 5675648664 7094560830 8108069520 9459414440 11351297328 14189121660 18918828880 28378243320 56756486640