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5921361040 = 2457234111213
BaseRepresentation
bin1011000001111000…
…01100110010010000
3120021200002022022011
411200330030302100
544111332023130
62415323152304
7266510511160
oct54074146220
916250068264
105921361040
1125694aa211
121193075694
137349c403a
144025bc5a0
15249ca252a
hex160f0cc90

5921361040 has 160 divisors (see below), whose sum is σ = 16819923456. Its totient is φ = 1894379520.

The previous prime is 5921361031. The next prime is 5921361059. The reversal of 5921361040 is 401631295.

It is a junction number, because it is equal to n+sod(n) for n = 5921360993 and 5921361011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522474 + ... + 533686.

Almost surely, 25921361040 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 5921361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409961728).

5921361040 is an abundant number, since it is smaller than the sum of its proper divisors (10898562416).

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

5921361040 is a wasteful number, since it uses less digits than its factorization.

5921361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 5921361040 is about 76950.3803759280. The cubic root of 5921361040 is about 1809.1469622778.

The spelling of 5921361040 in words is "five billion, nine hundred twenty-one million, three hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 41 46 56 70 80 82 92 112 115 140 161 164 184 205 230 280 287 322 328 368 410 460 560 574 644 656 805 820 920 943 1148 1288 1435 1610 1640 1840 1886 2296 2576 2870 3220 3280 3772 4592 4715 5740 6440 6601 7544 9430 11213 11480 12880 13202 15088 18860 22426 22960 26404 33005 37720 44852 52808 56065 66010 75440 78491 89704 105616 112130 132020 156982 179408 224260 257899 264040 313964 392455 448520 459733 515798 528080 627928 784910 897040 919466 1031596 1255856 1289495 1569820 1805293 1838932 2063192 2298665 2578990 3139640 3218131 3610586 3677864 4126384 4597330 5157980 6279280 6436262 7221172 7355728 9026465 9194660 10315960 10573859 12872524 14442344 16090655 18052930 18389320 20631920 21147718 25745048 28884688 32181310 36105860 36778640 42295436 51490096 52869295 64362620 72211720 74017013 84590872 105738590 128725240 144423440 148034026 169181744 211477180 257450480 296068052 370085065 422954360 592136104 740170130 845908720 1184272208 1480340260 2960680520 5921361040