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2088436768 = 2511231127137
BaseRepresentation
bin111110001111011…
…0000010000100000
312101112202120122221
41330132300100200
513234114434033
6543122240424
7102516263635
oct17436602040
95345676587
102088436768
11981960500
124a34b6114
1327389c902
1415b51a18c
15c353112d
hex7c7b0420

2088436768 has 144 divisors (see below), whose sum is σ = 4736212992. Its totient is φ = 904780800.

The previous prime is 2088436759. The next prime is 2088436783. The reversal of 2088436768 is 8676348802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15243996 + ... + 15244132.

It is an arithmetic number, because the mean of its divisors is an integer number (32890368).

Almost surely, 22088436768 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 2088436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368106496).

2088436768 is an abundant number, since it is smaller than the sum of its proper divisors (2647776224).

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

2088436768 is a wasteful number, since it uses less digits than its factorization.

2088436768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The square root of 2088436768 is about 45699.4175892866. The cubic root of 2088436768 is about 1278.2244196136.

The spelling of 2088436768 in words is "two billion, eighty-eight million, four hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 127 137 176 242 248 254 274 341 352 484 496 508 548 682 968 992 1016 1096 1364 1397 1507 1936 2032 2192 2728 2794 3014 3751 3872 3937 4064 4247 4384 5456 5588 6028 7502 7874 8494 10912 11176 12056 15004 15367 15748 16577 16988 17399 22352 24112 30008 30734 31496 33154 33976 34798 43307 44704 46717 48224 60016 61468 62992 66308 67952 69596 86614 93434 120032 122936 125984 132616 135904 139192 173228 186868 191389 245872 265232 278384 346456 373736 382778 476377 491744 513887 530464 539369 556768 692912 747472 765556 952754 1027774 1078738 1385824 1494944 1531112 1905508 2055548 2105279 2157476 3062224 3811016 4111096 4210558 4314952 5933059 6124448 7622032 8222192 8421116 8629904 11866118 15244064 16444384 16842232 17259808 23732236 33684464 47464472 65263649 67368928 94928944 130527298 189857888 261054596 522109192 1044218384 2088436768