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57885727120 = 245133113912917
BaseRepresentation
bin110101111010010000…
…100001100110010000
312112102011012121121021
4311322100201212100
51422022221231440
642331540005224
74116314363554
oct657220414620
9175364177537
1057885727120
1122604a90601
12b275990814
1355c6712950
142b31b6d864
15178bd1b84a
hexd7a421990

57885727120 has 160 divisors (see below), whose sum is σ = 150700354560. Its totient is φ = 20533340160.

The previous prime is 57885727019. The next prime is 57885727147. The reversal of 57885727120 is 2172758875.

It is a super-2 number, since 2×578857271202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 4474902 + ... + 4487818.

It is an arithmetic number, because the mean of its divisors is an integer number (941877216).

Almost surely, 257885727120 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 57885727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75350177280).

57885727120 is an abundant number, since it is smaller than the sum of its proper divisors (92814627440).

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

57885727120 is a wasteful number, since it uses less digits than its factorization.

57885727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13113 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 52.

The spelling of 57885727120 in words is "fifty-seven billion, eight hundred eighty-five million, seven hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 139 155 208 248 260 278 310 403 496 520 556 620 695 806 1040 1112 1240 1390 1612 1807 2015 2224 2480 2780 3224 3614 4030 4309 5560 6448 7228 8060 8618 9035 11120 12917 14456 16120 17236 18070 21545 25834 28912 32240 34472 36140 43090 51668 56017 64585 68944 72280 86180 103336 112034 129170 144560 167921 172360 206672 224068 258340 280085 335842 344720 400427 448136 516680 560170 671684 800854 839605 896272 1033360 1120340 1343368 1601708 1679210 1795463 2002135 2240680 2686736 3203416 3358420 3590926 4004270 4481360 5205551 6406832 6716840 7181852 8008540 8977315 10411102 13433680 14363704 16017080 17954630 20822204 23341019 26027755 28727408 32034160 35909260 41644408 46682038 52055510 55659353 71818520 83288816 93364076 104111020 111318706 116705095 143637040 186728152 208222040 222637412 233410190 278296765 373456304 416444080 445274824 466820380 556593530 723571589 890549648 933640760 1113187060 1447143178 1867281520 2226374120 2894286356 3617857945 4452748240 5788572712 7235715890 11577145424 14471431780 28942863560 57885727120