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2150995120128 = 2123297601541
BaseRepresentation
bin11111010011010001010…
…011001101000000000000
321121122002112210201000200
4133103101103031000000
5240220214222321003
64324053054245200
7311255443564131
oct37232123150000
97548075721020
102150995120128
1175a26073a468
122a8a63ab6800
13127ab80327ba
147617447bc88
153ae441276a3
hex1f4d14cd000

2150995120128 has 156 divisors (see below), whose sum is σ = 6277291685028. Its totient is φ = 709605457920.

The previous prime is 2150995120091. The next prime is 2150995120237. The reversal of 2150995120128 is 8210215990512.

It is a happy number.

2150995120128 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 9 + 9 + 512 + 0 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 470881419264 + 1680113700864 = 686208^2 + 1296192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3275038 + ... + 3876578.

It is an arithmetic number, because the mean of its divisors is an integer number (40239049263).

Almost surely, 22150995120128 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 2150995120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138645842514).

2150995120128 is an abundant number, since it is smaller than the sum of its proper divisors (4126296564900).

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

2150995120128 is an equidigital number, since it uses as much as digits as its factorization.

2150995120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601668 (or 601643 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 2150995120128 in words is "two trillion, one hundred fifty billion, nine hundred ninety-five million, one hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 512 576 582 768 776 873 1024 1152 1164 1536 1552 1746 2048 2304 2328 3072 3104 3492 4096 4608 4656 6144 6208 6984 9216 9312 12288 12416 13968 18432 18624 24832 27936 36864 37248 49664 55872 74496 99328 111744 148992 198656 223488 297984 397312 446976 595968 601541 893952 1191936 1203082 1787904 1804623 2406164 3575808 3609246 4812328 5413869 7218492 9624656 10827738 14436984 19249312 21655476 28873968 38498624 43310952 57747936 58349477 76997248 86621904 115495872 116698954 153994496 173243808 175048431 230991744 233397908 307988992 346487616 350096862 461983488 466795816 525145293 615977984 692975232 700193724 923966976 933591632 1050290586 1231955968 1385950464 1400387448 1847933952 1867183264 2100581172 2463911936 2771900928 2800774896 3695867904 3734366528 4201162344 5543801856 5601549792 7391735808 7468733056 8402324688 11087603712 11203099584 14937466112 16804649376 22175207424 22406199168 29874932224 33609298752 44812398336 59749864448 67218597504 89624796672 119499728896 134437195008 179249593344 238999457792 268874390016 358499186688 537748780032 716998373376 1075497560064 2150995120128