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5016609480 = 2335371497583
BaseRepresentation
bin1001010110000001…
…10110001011001000
3110221121122011111010
410223000312023020
540233223000410
62145443203520
7235213322421
oct45300661310
913847564433
105016609480
112144821a53
12b800765a0
1361c42599c
14358386648
151e5637c20
hex12b0362c8

5016609480 has 128 divisors (see below), whose sum is σ = 15562368000. Its totient is φ = 1292700672.

The previous prime is 5016609473. The next prime is 5016609497. The reversal of 5016609480 is 849066105.

It is a super-4 number, since 4×50166094804 (a number of 40 digits) contains 4444 as substring.

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, 657769 + ... + 665351.

It is an arithmetic number, because the mean of its divisors is an integer number (121581000).

Almost surely, 25016609480 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 5016609480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781184000).

5016609480 is an abundant number, since it is smaller than the sum of its proper divisors (10545758520).

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

5016609480 is a wasteful number, since it uses less digits than its factorization.

5016609480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5016609480 is about 70828.0275032420. The cubic root of 5016609480 is about 1711.8673080041.

The spelling of 5016609480 in words is "five billion, sixteen million, six hundred nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 149 185 222 296 298 370 444 447 555 596 740 745 888 894 1110 1192 1480 1490 1788 2220 2235 2980 3576 4440 4470 5513 5960 7583 8940 11026 15166 16539 17880 22052 22749 27565 30332 33078 37915 44104 45498 55130 60664 66156 75830 82695 90996 110260 113745 132312 151660 165390 181992 220520 227490 280571 303320 330780 454980 561142 661560 841713 909960 1122284 1129867 1402855 1683426 2244568 2259734 2805710 3366852 3389601 4208565 4519468 5611420 5649335 6733704 6779202 8417130 9038936 11222840 11298670 13558404 16834260 16948005 22597340 27116808 33668520 33896010 41805079 45194680 67792020 83610158 125415237 135584040 167220316 209025395 250830474 334440632 418050790 501660948 627076185 836101580 1003321896 1254152370 1672203160 2508304740 5016609480