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2933359486112 = 251131582146181
BaseRepresentation
bin101010101011111001110…
…110011010010010100000
3101101102111212101102011002
4222223321312122102200
5341030010012023422
610123322230011132
7421633245143426
oct52537166322240
911342455342132
102933359486112
11a31037a59310
123b46081a6aa8
131837cb3c4973
14a1d92543116
1551484036692
hex2aaf9d9a4a0

2933359486112 has 96 divisors (see below), whose sum is σ = 6504541843968. Its totient is φ = 1290084480000.

The previous prime is 2933359486093. The next prime is 2933359486117. The reversal of 2933359486112 is 2116849533392.

2933359486112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2933359486117) 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, 63495662 + ... + 63541842.

It is an arithmetic number, because the mean of its divisors is an integer number (67755644208).

Almost surely, 22933359486112 is an apocalyptic number.

2933359486112 is a gapful number since it is divisible by the number (22) 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 2933359486112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252270921984).

2933359486112 is an abundant number, since it is smaller than the sum of its proper divisors (3571182357856).

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

2933359486112 is a wasteful number, since it uses less digits than its factorization.

2933359486112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52054 (or 52046 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 56.

The spelling of 2933359486112 in words is "two trillion, nine hundred thirty-three billion, three hundred fifty-nine million, four hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 5821 10912 11642 23284 46181 46568 64031 92362 93136 128062 180451 184724 186272 256124 360902 369448 507991 512248 721804 738896 1015982 1024496 1431611 1443608 1477792 1984961 2031964 2048992 2863222 2887216 3969922 4063928 5726444 5774432 7939844 8127856 11452888 15747721 15879688 16255712 22905776 31495442 31759376 45811552 62990884 63518752 125981768 251963536 268819601 503927072 537639202 1075278404 2150556808 2957015611 4301113616 5914031222 8333407631 8602227232 11828062444 16666815262 23656124888 33333630524 47312249776 66667261048 91667483941 94624499552 133334522096 183334967882 266669044192 366669935764 733339871528 1466679743056 2933359486112