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5090882976 = 2532671931367
BaseRepresentation
bin1001011110111000…
…01011010110100000
3111010210101122120100
410233130023112200
540411231223401
62201055142400
7240104535264
oct45734132640
914123348510
105090882976
112182741803
12ba0b14a00
1363192c6ba
1436419c0a4
151ebe09b86
hex12f70b5a0

5090882976 has 144 divisors (see below), whose sum is σ = 14780211264. Its totient is φ = 1661755392.

The previous prime is 5090882963. The next prime is 5090882987. The reversal of 5090882976 is 6792880905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 3723445 + ... + 3724811.

It is an arithmetic number, because the mean of its divisors is an integer number (102640356).

Almost surely, 25090882976 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 5090882976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390105632).

5090882976 is an abundant number, since it is smaller than the sum of its proper divisors (9689328288).

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

5090882976 is a wasteful number, since it uses less digits than its factorization.

5090882976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 5090882976 is about 71350.4237969194. The cubic root of 5090882976 is about 1720.2743135591.

The spelling of 5090882976 in words is "five billion, ninety million, eight hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 193 201 268 288 386 402 536 579 603 772 804 1072 1158 1206 1367 1544 1608 1737 2144 2316 2412 2734 3088 3216 3474 4101 4632 4824 5468 6176 6432 6948 8202 9264 9648 10936 12303 12931 13896 16404 18528 19296 21872 24606 25862 27792 32808 38793 43744 49212 51724 55584 65616 77586 91589 98424 103448 116379 131232 155172 183178 196848 206896 232758 263831 274767 310344 366356 393696 413792 465516 527662 549534 620688 732712 791493 824301 931032 1055324 1099068 1241376 1465424 1582986 1648602 1862064 2110648 2198136 2374479 2930848 3165972 3297204 3724128 4221296 4396272 4748958 6331944 6594408 8442592 8792544 9497916 12663888 13188816 17676677 18995832 25327776 26377632 35353354 37991664 53030031 70706708 75983328 106060062 141413416 159090093 212120124 282826832 318180186 424240248 565653664 636360372 848480496 1272720744 1696960992 2545441488 5090882976