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5173904960 = 26573174509
BaseRepresentation
bin1001101000110001…
…11000011001000000
3111100120121121022122
410310120320121000
541044004424320
62213222423412
7242133316010
oct46430703100
914316547278
105173904960
112215597414
121004891b68
13645baa433
1437120dc40
15204358d25
hex134638640

5173904960 has 112 divisors (see below), whose sum is σ = 14534814720. Its totient is φ = 1716664320.

The previous prime is 5173904959. The next prime is 5173904977. The reversal of 5173904960 is 694093715.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×51739049602 = 53538585070225203200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32186 + ... + 106694.

Almost surely, 25173904960 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 5173904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267407360).

5173904960 is an abundant number, since it is smaller than the sum of its proper divisors (9360909760).

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

5173904960 is a wasteful number, since it uses less digits than its factorization.

5173904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74564 (or 74554 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 5173904960 is about 71929.8613928874. The cubic root of 5173904960 is about 1729.5753309602.

The spelling of 5173904960 in words is "five billion, one hundred seventy-three million, nine hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 8680 9920 13888 17360 34720 69440 74509 149018 298036 372545 521563 596072 745090 1043126 1192144 1490180 2086252 2309779 2384288 2607815 2980360 4172504 4619558 4768576 5215630 5960720 8345008 9239116 10431260 11548895 11921440 16168453 16690016 18478232 20862520 23097790 23842880 32336906 33380032 36956464 41725040 46195580 64673812 73912928 80842265 83450080 92391160 129347624 147825856 161684530 166900160 184782320 258695248 323369060 369564640 517390496 646738120 739129280 1034780992 1293476240 2586952480 5173904960