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5155656560 = 245615771831
BaseRepresentation
bin1001100110100110…
…10001001101110000
3111022022021111012222
410303103101031300
541024322002220
62211331340212
7241522233455
oct46323211560
914268244188
105155656560
11220626309a
12bba751668
1364218b372
1436ca1d82c
15202951e25
hex1334d1370

5155656560 has 80 divisors (see below), whose sum is σ = 12211188672. Its totient is φ = 2023833600.

The previous prime is 5155656557. The next prime is 5155656577. The reversal of 5155656560 is 656565515.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 2814845 + ... + 2816675.

Almost surely, 25155656560 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 5155656560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105594336).

5155656560 is an abundant number, since it is smaller than the sum of its proper divisors (7055532112).

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

5155656560 is a wasteful number, since it uses less digits than its factorization.

5155656560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The square root of 5155656560 is about 71802.9007770577. The cubic root of 5155656560 is about 1727.5395274398.

The spelling of 5155656560 in words is "five billion, one hundred fifty-five million, six hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 577 610 976 1154 1220 1831 2308 2440 2885 3662 4616 4880 5770 7324 9155 9232 11540 14648 18310 23080 29296 35197 36620 46160 70394 73240 111691 140788 146480 175985 223382 281576 351970 446764 558455 563152 703940 893528 1056487 1116910 1407880 1787056 2112974 2233820 2815760 4225948 4467640 5282435 8451896 8935280 10564870 16903792 21129740 42259480 64445707 84518960 128891414 257782828 322228535 515565656 644457070 1031131312 1288914140 2577828280 5155656560