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5058717160 = 2357472691429
BaseRepresentation
bin1001011011000010…
…11110010111101000
3111001112212110100211
410231201132113220
540330012422120
62153545510504
7236234246350
oct45541362750
914045773324
105058717160
112166572092
12b921a2434
13628079983
1435dbc7b60
151e91a425a
hex12d85e5e8

5058717160 has 128 divisors (see below), whose sum is σ = 13343616000. Its totient is φ = 1690020864.

The previous prime is 5058717137. The next prime is 5058717179. The reversal of 5058717160 is 617178505.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3539326 + ... + 3540754.

It is an arithmetic number, because the mean of its divisors is an integer number (104247000).

Almost surely, 25058717160 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 5058717160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671808000).

5058717160 is an abundant number, since it is smaller than the sum of its proper divisors (8284898840).

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

5058717160 is a wasteful number, since it uses less digits than its factorization.

5058717160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The square root of 5058717160 is about 71124.6592961963. The cubic root of 5058717160 is about 1716.6435761915.

The spelling of 5058717160 in words is "five billion, fifty-eight million, seven hundred seventeen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 269 280 329 376 470 538 658 940 1076 1316 1345 1429 1645 1880 1883 2152 2632 2690 2858 3290 3766 5380 5716 6580 7145 7532 9415 10003 10760 11432 12643 13160 14290 15064 18830 20006 25286 28580 37660 40012 50015 50572 57160 63215 67163 75320 80024 88501 100030 101144 126430 134326 177002 200060 252860 268652 335815 354004 384401 400120 442505 470141 505720 537304 671630 708008 768802 885010 940282 1343260 1537604 1770020 1880564 1922005 2350705 2686520 2690807 3075208 3540040 3761128 3844010 4701410 5381614 7688020 9402820 10763228 13454035 15376040 18066847 18805640 21526456 26908070 36133694 53816140 72267388 90334235 107632280 126467929 144534776 180668470 252935858 361336940 505871716 632339645 722673880 1011743432 1264679290 2529358580 5058717160