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2139889162896 = 243213928772
BaseRepresentation
bin11111001000111011010…
…101010101101010010000
321120120102112222121210100
4133020323111111222100
5240024443111203041
64315015043132400
7310413306525102
oct37107325255220
97516375877710
102139889162896
11755581711411
122a6884674100
13126a38189c84
14757dd4a9572
153a9e41086b6
hex1f23b555a90

2139889162896 has 135 divisors (see below), whose sum is σ = 6038997809481. Its totient is φ = 707357273472.

The previous prime is 2139889162867. The next prime is 2139889162897. The reversal of 2139889162896 is 6982619889312.

The square root of 2139889162896 is 1462836.

It is a perfect power (a square), and thus also a powerful number.

2139889162896 is a `hidden beast` number, since 2 + 1 + 398 + 8 + 91 + 62 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1802950707600 + 336938455296 = 1342740^2 + 580464^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2139889162897) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2440010010 + ... + 2440010886.

Almost surely, 22139889162896 is an apocalyptic number.

2139889162896 is the 1462836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139889162896

2139889162896 is an abundant number, since it is smaller than the sum of its proper divisors (3899108646585).

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

2139889162896 is an frugal number, since it uses more digits than its factorization.

2139889162896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 1021 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 2139889162896 in words is "two trillion, one hundred thirty-nine billion, eight hundred eighty-nine million, one hundred sixty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 877 1112 1251 1668 1754 2224 2502 2631 3336 3508 5004 5262 6672 7016 7893 10008 10524 14032 15786 19321 20016 21048 31572 38642 42096 57963 63144 77284 115926 121903 126288 154568 173889 231852 243806 309136 347778 365709 463704 487612 695556 731418 769129 927408 975224 1097127 1391112 1462836 1538258 1950448 2194254 2307387 2782224 2925672 3076516 4388508 4614774 5851344 6153032 6922161 8777016 9229548 12306064 13844322 16944517 17554032 18459096 27688644 33889034 36918192 50833551 55377288 67778068 101667102 106908931 110754576 135556136 152500653 203334204 213817862 271112272 305001306 320726793 406668408 427635724 610002612 641453586 813336816 855271448 962180379 1220005224 1282907172 1710542896 1924360758 2440010448 2565814344 3848721516 5131628688 7697443032 14860341409 15394886064 29720682818 44581024227 59441365636 89162048454 118882731272 133743072681 178324096908 237765462544 267486145362 356648193816 534972290724 713296387632 1069944581448 2139889162896