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2157962664 = 23311131274951
BaseRepresentation
bin1000000010011111…
…1110010110101000
312120101120212021010
42000213332112220
513404414301124
6554044343520
7104322244224
oct20047762650
95511525233
102157962664
11a08128320
12502844ba0
132851036b0
14166857784
15c96b6529
hex809fe5a8

2157962664 has 128 divisors (see below), whose sum is σ = 6389268480. Its totient is φ = 598752000.

The previous prime is 2157962663. The next prime is 2157962671. The reversal of 2157962664 is 4662697512.

It is not an unprimeable number, because it can be changed into a prime (2157962663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433389 + ... + 438339.

It is an arithmetic number, because the mean of its divisors is an integer number (49916160).

Almost surely, 22157962664 is an apocalyptic number.

2157962664 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 2157962664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194634240).

2157962664 is an abundant number, since it is smaller than the sum of its proper divisors (4231305816).

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

2157962664 is a wasteful number, since it uses less digits than its factorization.

2157962664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5107 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 2157962664 is about 46453.8767381152. The cubic root of 2157962664 is about 1292.2542688255.

The spelling of 2157962664 in words is "two billion, one hundred fifty-seven million, nine hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 127 132 143 156 254 264 286 312 381 429 508 572 762 858 1016 1144 1397 1524 1651 1716 2794 3048 3302 3432 4191 4951 4953 5588 6604 8382 9902 9906 11176 13208 14853 16764 18161 19804 19812 29706 33528 36322 39608 39624 54461 54483 59412 64363 72644 108922 108966 118824 128726 145288 163383 193089 217844 217932 257452 326766 386178 435688 435864 514904 628777 653532 707993 772356 1257554 1307064 1415986 1544712 1886331 2123979 2515108 2831972 3772662 4247958 5030216 5663944 6916547 7545324 8174101 8495916 13833094 15090648 16348202 16991832 20749641 24522303 27666188 32696404 41499282 49044606 55332376 65392808 82998564 89915111 98089212 165997128 179830222 196178424 269745333 359660444 539490666 719320888 1078981332 2157962664