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10146055331616 = 253105688076371
BaseRepresentation
bin1001001110100101000000…
…0001100001111100100000
31022220221202001002211221220
42103221100001201330200
52312213110131102431
633325011121415040
72065012465233531
oct223512001417440
938827661084856
1010146055331616
113261a10800456
12117a45949a480
135879cc3ba379
14271100a50688
15128dc757bb96
hex93a50061f20

10146055331616 has 24 divisors (see below), whose sum is σ = 26633395245744. Its totient is φ = 3382018443840.

The previous prime is 10146055331593. The next prime is 10146055331623. The reversal of 10146055331616 is 61613355064101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×101460553316163 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52844038090 + ... + 52844038281.

It is an arithmetic number, because the mean of its divisors is an integer number (1109724801906).

Almost surely, 210146055331616 is an apocalyptic number.

10146055331616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10146055331616 is an abundant number, since it is smaller than the sum of its proper divisors (16487339914128).

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

10146055331616 is a wasteful number, since it uses less digits than its factorization.

10146055331616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105688076384 (or 105688076376 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 10146055331616 in words is "ten trillion, one hundred forty-six billion, fifty-five million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105688076371 211376152742 317064229113 422752305484 634128458226 845504610968 1268256916452 1691009221936 2536513832904 3382018443872 5073027665808 10146055331616