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5900298096 = 2437116192579
BaseRepresentation
bin1010111111010111…
…10110011101110000
3120020012110012101010
411133223312131300
544040434014341
62413251510520
7266133464160
oct53753663560
916205405333
105900298096
112558623320
121187bb8440
1373052ab64
143dd8985a0
15247ee1716
hex15faf6770

5900298096 has 160 divisors (see below), whose sum is σ = 19041638400. Its totient is φ = 1529475840.

The previous prime is 5900298071. The next prime is 5900298109. The reversal of 5900298096 is 6908920095.

It is a super-2 number, since 2×59002980962 = 69627035243322450432, which contains 22 as substring.

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

It is a congruent number.

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, 2286535 + ... + 2289113.

It is an arithmetic number, because the mean of its divisors is an integer number (119010240).

Almost surely, 25900298096 is an apocalyptic number.

5900298096 is a gapful number since it is divisible by the number (56) 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 5900298096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520819200).

5900298096 is an abundant number, since it is smaller than the sum of its proper divisors (13141340304).

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

5900298096 is a wasteful number, since it uses less digits than its factorization.

5900298096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 5900298096 is about 76813.3978938570. The cubic root of 5900298096 is about 1806.9993010229. Note that the first 3 decimals are identical.

The spelling of 5900298096 in words is "five billion, nine hundred million, two hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 619 924 1232 1238 1848 1857 2476 2579 3696 3714 4333 4952 5158 6809 7428 7737 8666 9904 10316 12999 13618 14856 15474 17332 18053 20427 20632 25998 27236 28369 29712 30948 34664 36106 40854 41264 47663 51996 54159 54472 56738 61896 69328 72212 81708 85107 95326 103992 108318 108944 113476 123792 142989 144424 163416 170214 190652 198583 207984 216636 226952 285978 288848 326832 340428 381304 397166 433272 453904 571956 595749 680856 762608 794332 866544 1143912 1191498 1361712 1588664 1596401 2287824 2382996 3177328 3192802 4765992 4789203 6385604 9531984 9578406 11174807 12771208 17560411 19156812 22349614 25542416 33524421 35120822 38313624 44699228 52681233 67048842 70241644 76627248 89398456 105362466 122922877 134097684 140483288 178796912 210724932 245845754 268195368 280966576 368768631 421449864 491691508 536390736 737537262 842899728 983383016 1475074524 1966766032 2950149048 5900298096