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2146552902 = 23213311991487
BaseRepresentation
bin111111111110001…
…1100110001000110
312112121010012000100
41333330130301012
513344004143102
6553000024530
7104123253504
oct17774346106
95477105010
102146552902
11a01744a6a
124baa62146
1328293a260
14165127674
15c86b0a1c
hex7ff1cc46

2146552902 has 96 divisors (see below), whose sum is σ = 5199667200. Its totient is φ = 635532480.

The previous prime is 2146552897. The next prime is 2146552913. The reversal of 2146552902 is 2092556412.

2146552902 is a `hidden beast` number, since 2 + 14 + 6 + 552 + 90 + 2 = 666.

It is a super-2 number, since 2×21465529022 = 9215378722169243208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1442803 + ... + 1444289.

It is an arithmetic number, because the mean of its divisors is an integer number (54163200).

Almost surely, 22146552902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146552902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599833600).

2146552902 is an abundant number, since it is smaller than the sum of its proper divisors (3053114298).

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

2146552902 is a wasteful number, since it uses less digits than its factorization.

2146552902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2146552902 is about 46330.9065527537. The cubic root of 2146552902 is about 1289.9727378410.

The spelling of 2146552902 in words is "two billion, one hundred forty-six million, five hundred fifty-two thousand, nine hundred two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 199 234 279 398 403 558 597 806 1194 1209 1487 1791 2418 2587 2974 3582 3627 4461 5174 6169 7254 7761 8922 12338 13383 15522 18507 19331 23283 26766 37014 38662 46097 46566 55521 57993 80197 92194 111042 115986 138291 160394 173979 240591 276582 295913 347958 414873 481182 591826 599261 721773 829746 887739 1198522 1443546 1775478 1797783 2663217 3595566 3846869 5326434 5393349 7693738 9173303 10786698 11540607 18346606 23081214 27519909 34621821 55039818 69243642 82559727 119252939 165119454 238505878 357758817 715517634 1073276451 2146552902