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56455373040 = 24351122679433
BaseRepresentation
bin110100100101000000…
…001010000011110000
312101201110202002200020
4310211000022003300
51411110033414130
641534002323440
74036005516213
oct644500120360
9171643662606
1056455373040
1121a4064a3a0
12ab36959580
135429296ca1
142a37bd977a
15170647ce10
hexd2500a0f0

56455373040 has 160 divisors (see below), whose sum is σ = 191026273536. Its totient is φ = 13678663680.

The previous prime is 56455373021. The next prime is 56455373053. The reversal of 56455373040 is 4037355465.

It is a junction number, because it is equal to n+sod(n) for n = 56455372983 and 56455373001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5980164 + ... + 5989596.

Almost surely, 256455373040 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 56455373040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95513136768).

56455373040 is an abundant number, since it is smaller than the sum of its proper divisors (134570900496).

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

56455373040 is a wasteful number, since it uses less digits than its factorization.

56455373040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727 (or 11721 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 56455373040 in words is "fifty-six billion, four hundred fifty-five million, three hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2267 2640 4534 6801 9068 9433 11335 13602 18136 18866 22670 24937 27204 28299 34005 36272 37732 45340 47165 49874 54408 56598 68010 74811 75464 90680 94330 99748 103763 108816 113196 124685 136020 141495 149622 150928 181360 188660 199496 207526 226392 249370 272040 282990 299244 311289 374055 377320 398992 415052 452784 498740 518815 544080 565980 598488 622578 748110 754640 830104 997480 1037630 1131960 1196976 1245156 1496220 1556445 1660208 1994960 2075260 2263920 2490312 2992440 3112890 4150520 4980624 5984880 6225780 8301040 12451560 21384611 24903120 42769222 64153833 85538444 106923055 128307666 171076888 213846110 235230721 256615332 320769165 342153776 427692220 470461442 513230664 641538330 705692163 855384440 940922884 1026461328 1176153605 1283076660 1411384326 1710768880 1881845768 2352307210 2566153320 2822768652 3528460815 3763691536 4704614420 5132306640 5645537304 7056921630 9409228840 11291074608 14113843260 18818457680 28227686520 56455373040