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133919027185152 = 293112720552617
BaseRepresentation
bin11110011100110001110100…
…000010110100011000000000
3122120011112102021001210121110
4132130301310002310120000
5120023112131424411102
61152453315103323320
740131221223145236
oct3634616402643000
9576145367053543
10133919027185152
1139741816647600
121302a4a32b0540
135995682839611
14250da03490956
15107381b97386c
hex79cc740b4600

133919027185152 has 120 divisors (see below), whose sum is σ = 392150674609848. Its totient is φ = 40581523333120.

The previous prime is 133919027185121. The next prime is 133919027185189. The reversal of 133919027185152 is 251581720919331.

It is a junction number, because it is equal to n+sod(n) for n = 133919027185092 and 133919027185101.

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 11 ways as a sum of consecutive naturals, for example, 360090453 + ... + 360462164.

Almost surely, 2133919027185152 is an apocalyptic number.

133919027185152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133919027185152 is an abundant number, since it is smaller than the sum of its proper divisors (258231647424696).

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

133919027185152 is an equidigital number, since it uses as much as digits as its factorization.

133919027185152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720552660 (or 720552633 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 133919027185152 in words is "one hundred thirty-three trillion, nine hundred nineteen billion, twenty-seven million, one hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1408 1452 1536 1936 2112 2816 2904 3872 4224 5632 5808 7744 8448 11616 15488 16896 23232 30976 46464 61952 92928 185856 720552617 1441105234 2161657851 2882210468 4323315702 5764420936 7926078787 8646631404 11528841872 15852157574 17293262808 23057683744 23778236361 31704315148 34586525616 46115367488 47556472722 63408630296 69173051232 87186866657 92230734976 95112945444 126817260592 138346102464 174373733314 184461469952 190225890888 253634521184 261560599971 276692204928 348747466628 368922939904 380451781776 507269042368 523121199942 553384409856 697494933256 760903563552 1014538084736 1046242399884 1106768819712 1394989866512 1521807127104 2029076169472 2092484799768 2789979733024 3043614254208 4058152338944 4184969599536 5579959466048 6087228508416 8369939199072 11159918932096 12174457016832 16739878398144 22319837864192 33479756796288 44639675728384 66959513592576 133919027185152