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6112810496 = 29131789607
BaseRepresentation
bin1011011000101101…
…00001011000000000
3120210000022221120202
411230112201120000
5100004334413441
62450322424332
7304324013642
oct55426413000
916700287522
106112810496
112657582001
1212272020a8
13765576440
1441dbb6892
1525b9bd19b
hex16c5a1600

6112810496 has 160 divisors (see below), whose sum is σ = 14106597120. Its totient is φ = 2621177856.

The previous prime is 6112810493. The next prime is 6112810537. The reversal of 6112810496 is 6940182116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112810493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10070225 + ... + 10070831.

It is an arithmetic number, because the mean of its divisors is an integer number (88166232).

Almost surely, 26112810496 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 6112810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

6112810496 is an abundant number, since it is smaller than the sum of its proper divisors (7993786624).

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

6112810496 is a wasteful number, since it uses less digits than its factorization.

6112810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 6112810496 is about 78184.4645437954. The cubic root of 6112810496 is about 1828.4383041477.

The spelling of 6112810496 in words is "six billion, one hundred twelve million, eight hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 89 104 128 136 178 208 221 256 272 356 416 442 512 544 607 712 832 884 1088 1157 1214 1424 1513 1664 1768 2176 2314 2428 2848 3026 3328 3536 4352 4628 4856 5696 6052 6656 7072 7891 8704 9256 9712 10319 11392 12104 14144 15782 18512 19424 19669 20638 22784 24208 28288 31564 37024 38848 39338 41276 45568 48416 54023 56576 63128 74048 77696 78676 82552 96832 108046 113152 126256 134147 148096 155392 157352 165104 193664 216092 252512 268294 296192 310784 314704 330208 387328 432184 505024 536588 592384 629408 660416 702299 774656 864368 918391 1010048 1073176 1258816 1320832 1404598 1728736 1836782 2020096 2146352 2517632 2641664 2809196 3457472 3673564 4040192 4292704 5035264 5283328 5618392 6914944 7347128 8585408 10070528 11236784 11939083 13829888 14694256 17170816 22473568 23878166 27659776 29388512 34341632 44947136 47756332 58777024 68683264 89894272 95512664 117554048 179788544 191025328 235108096 359577088 382050656 470216192 764101312 1528202624 3056405248 6112810496