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5362980624 = 243373173983
BaseRepresentation
bin1001111111010100…
…01001011100010000
3111211202101122101000
410333222021130100
541440410334444
62244055142000
7246620404011
oct47752113420
914752348330
105362980624
1123022987a1
121058074900
1367610b221
1438c38b008
15215c56469
hex13fa89710

5362980624 has 160 divisors (see below), whose sum is σ = 15710780160. Its totient is φ = 1751196672.

The previous prime is 5362980617. The next prime is 5362980671. The reversal of 5362980624 is 4260892635.

5362980624 is a `hidden beast` number, since 536 + 2 + 98 + 0 + 6 + 24 = 666.

It is a super-2 number, since 2×53629806242 = 57523122346798858752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5362980624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5455237 + ... + 5456219.

It is an arithmetic number, because the mean of its divisors is an integer number (98192376).

Almost surely, 25362980624 is an apocalyptic number.

5362980624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5362980624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855390080).

5362980624 is an abundant number, since it is smaller than the sum of its proper divisors (10347799536).

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

5362980624 is a wasteful number, since it uses less digits than its factorization.

5362980624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5362980624 is about 73232.3741524198. The cubic root of 5362980624 is about 1750.3923608944.

The spelling of 5362980624 in words is "five billion, three hundred sixty-two million, nine hundred eighty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 173 216 219 292 346 432 438 519 584 657 692 876 983 1038 1168 1314 1384 1557 1752 1966 1971 2076 2628 2768 2949 3114 3504 3932 3942 4152 4671 5256 5898 6228 7864 7884 8304 8847 9342 10512 11796 12456 12629 15728 15768 17694 18684 23592 24912 25258 26541 31536 35388 37368 37887 47184 50516 53082 70776 71759 74736 75774 101032 106164 113661 141552 143518 151548 170059 202064 212328 215277 227322 287036 303096 340118 340983 424656 430554 454644 510177 574072 606192 645831 680236 681966 861108 909288 1020354 1148144 1291662 1360472 1363932 1530531 1722216 1818576 1937493 2040708 2583324 2720944 2727864 3061062 3444432 3874986 4081416 4591593 5166648 5455728 6122124 7749972 8162832 9183186 10333296 12244248 12414307 15499944 18366372 24488496 24828614 30999888 36732744 37242921 49657228 73465488 74485842 99314456 111728763 148971684 198628912 223457526 297943368 335186289 446915052 595886736 670372578 893830104 1340745156 1787660208 2681490312 5362980624