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5142367776 = 253713588641
BaseRepresentation
bin1001100101000001…
…00100111000100000
3111021101021100102210
410302200210320200
541012421232101
62210134442120
7241301255610
oct46240447040
914241240383
105142367776
1121a9807027
12bb6203340
1363c4b7890
1436ad60a40
152016c97d6
hex132824e20

5142367776 has 96 divisors (see below), whose sum is σ = 16613831808. Its totient is φ = 1356226560.

The previous prime is 5142367759. The next prime is 5142367799. The reversal of 5142367776 is 6777632415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285585 + ... + 303056.

It is an arithmetic number, because the mean of its divisors is an integer number (173060748).

Almost surely, 25142367776 is an apocalyptic number.

5142367776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5142367776 is an abundant number, since it is smaller than the sum of its proper divisors (11471464032).

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

5142367776 is a wasteful number, since it uses less digits than its factorization.

5142367776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588674 (or 588666 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 48.

The square root of 5142367776 is about 71710.3045314967. The cubic root of 5142367776 is about 1726.0539971569.

The spelling of 5142367776 in words is "five billion, one hundred forty-two million, three hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 588641 1177282 1765923 2354564 3531846 4120487 4709128 7063692 7652333 8240974 9418256 12361461 14127384 15304666 16481948 18836512 22956999 24722922 28254768 30609332 32963896 45913998 49445844 53566331 56509536 61218664 65927792 91827996 98891688 107132662 122437328 131855584 160698993 183655992 197783376 214265324 244874656 321397986 367311984 395566752 428530648 642795972 734623968 857061296 1285591944 1714122592 2571183888 5142367776