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5053036464 = 2432710149633
BaseRepresentation
bin1001011010010111…
…10011011110110000
3111001011011211220200
410231023303132300
540322034131324
62153224035200
7236135046510
oct45513633660
914034154820
105053036464
1121633420a3
12b90302b00
13626b3b108
1435d149840
151e8930ec9
hex12d2f37b0

5053036464 has 120 divisors (see below), whose sum is σ = 16322041632. Its totient is φ = 1429401600.

The previous prime is 5053036433. The next prime is 5053036477. The reversal of 5053036464 is 4646303505.

5053036464 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 0 + 3 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76992 + ... + 126624.

Almost surely, 25053036464 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 5053036464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8161020816).

5053036464 is an abundant number, since it is smaller than the sum of its proper divisors (11269005168).

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

5053036464 is a wasteful number, since it uses less digits than its factorization.

5053036464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49755 (or 49746 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5053036464 is about 71084.7132933657. The cubic root of 5053036464 is about 1716.0007661333. Note that the first 3 decimals are identical.

Adding to 5053036464 its reverse (4646303505), we get a palindrome (9699339969).

The spelling of 5053036464 in words is "five billion, fifty-three million, thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 707 808 909 1008 1212 1414 1616 1818 2121 2424 2828 3636 4242 4848 5656 6363 7272 8484 11312 12726 14544 16968 25452 33936 49633 50904 99266 101808 148899 198532 297798 347431 397064 446697 595596 694862 794128 893394 1042293 1191192 1389724 1786788 2084586 2382384 2779448 3126879 3573576 4169172 5012933 5558896 6253758 7147152 8338344 10025866 12507516 15038799 16676688 20051732 25015032 30077598 35090531 40103464 45116397 50030064 60155196 70181062 80206928 90232794 105271593 120310392 140362124 180465588 210543186 240620784 280724248 315814779 360931176 421086372 561448496 631629558 721862352 842172744 1263259116 1684345488 2526518232 5053036464