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2134736904 = 2332337127823
BaseRepresentation
bin111111100111101…
…1000000000001000
312111202212212111210
41333033120000020
513332443040104
6551454453120
7103620651516
oct17717300010
95452785453
102134736904
119a6004483
124b6b041a0
13280360c41
1416372d4b6
15c7629989
hex7f3d8008

2134736904 has 128 divisors (see below), whose sum is σ = 5771427840. Its totient is φ = 656232192.

The previous prime is 2134736897. The next prime is 2134736921. The reversal of 2134736904 is 4096374312.

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, 2593437 + ... + 2594259.

It is an arithmetic number, because the mean of its divisors is an integer number (45089280).

Almost surely, 22134736904 is an apocalyptic number.

2134736904 is a gapful number since it is divisible by the number (24) 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 2134736904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885713920).

2134736904 is an abundant number, since it is smaller than the sum of its proper divisors (3636690936).

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

2134736904 is a wasteful number, since it uses less digits than its factorization.

2134736904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 2134736904 is about 46203.2131350191. The cubic root of 2134736904 is about 1287.6014368693.

The spelling of 2134736904 in words is "two billion, one hundred thirty-four million, seven hundred thirty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 127 138 148 184 222 254 276 296 381 444 508 552 762 823 851 888 1016 1524 1646 1702 2469 2553 2921 3048 3292 3404 4699 4938 5106 5842 6584 6808 8763 9398 9876 10212 11684 14097 17526 18796 18929 19752 20424 23368 28194 30451 35052 37592 37858 56388 56787 60902 70104 75716 91353 104521 108077 112776 113574 121804 151432 182706 209042 216154 227148 243608 313563 324231 365412 418084 432308 454296 627126 648462 700373 730824 836168 864616 1254252 1296924 1400746 2101119 2403983 2508504 2593848 2801492 3867277 4202238 4807966 5602984 7211949 7734554 8404476 9615932 11601831 14423898 15469108 16808952 19231864 23203662 28847796 30938216 46407324 57695592 88947371 92814648 177894742 266842113 355789484 533684226 711578968 1067368452 2134736904