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5350934960 = 2457174711959
BaseRepresentation
bin1001111101111000…
…01100100110110000
3111210220201122211022
410332330030212300
541424314404320
62242545035012
7246413124320
oct47674144660
914726648738
105350934960
1122a65106a8
121054025a68
13673781507
1438a933280
15214b77325
hex13ef0c9b0

5350934960 has 160 divisors (see below), whose sum is σ = 15376158720. Its totient is φ = 1689808896.

The previous prime is 5350934959. The next prime is 5350934989. The reversal of 5350934960 is 694390535.

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, 441461 + ... + 453419.

It is an arithmetic number, because the mean of its divisors is an integer number (96100992).

Almost surely, 25350934960 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 5350934960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688079360).

5350934960 is an abundant number, since it is smaller than the sum of its proper divisors (10025223760).

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

5350934960 is a wasteful number, since it uses less digits than its factorization.

5350934960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12043 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 44.

The square root of 5350934960 is about 73150.0851674145. The cubic root of 5350934960 is about 1749.0808735359.

The spelling of 5350934960 in words is "five billion, three hundred fifty million, nine hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 47 56 68 70 80 85 94 112 119 136 140 170 188 235 238 272 280 329 340 376 470 476 560 595 658 680 752 799 940 952 1190 1316 1360 1598 1645 1880 1904 2380 2632 3196 3290 3760 3995 4760 5264 5593 6392 6580 7990 9520 11186 11959 12784 13160 15980 22372 23918 26320 27965 31960 44744 47836 55930 59795 63920 83713 89488 95672 111860 119590 167426 191344 203303 223720 239180 334852 406606 418565 447440 478360 562073 669704 813212 837130 956720 1016515 1124146 1339408 1423121 1626424 1674260 2033030 2248292 2810365 2846242 3252848 3348520 3934511 4066060 4496584 5620730 5692484 6697040 7115605 7869022 8132120 8993168 9555241 11241460 11384968 14231210 15738044 16264240 19110482 19672555 22482920 22769936 28462420 31476088 38220964 39345110 44965840 47776205 56924840 62952176 66886687 76441928 78690220 95552410 113849680 133773374 152883856 157380440 191104820 267546748 314760880 334433435 382209640 535093496 668866870 764419280 1070186992 1337733740 2675467480 5350934960