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13152171357036 = 22331672273212413
BaseRepresentation
bin1011111101100011101010…
…0000000111001101101100
31201120100001102202102001000
42333120322200013031230
53210441121331411121
643550005112520300
72525133031654545
oct277307240071554
951510042672030
1013152171357036
114210893944598
121584b8b6b0090
1374532404ab0a
143367d5d194cc
1517c1b8bc6526
hexbf63a80736c

13152171357036 has 96 divisors (see below), whose sum is σ = 34453525639680. Its totient is φ = 4338606549312.

The previous prime is 13152171357011. The next prime is 13152171357137. The reversal of 13152171357036 is 63075317125131.

It is a happy number.

13152171357036 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 2 + 1 + 71 + 3 + 570 + 3 + 6 = 666.

It is a super-2 number, since 2×131521713570362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13152171356982 and 13152171357000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2487966 + ... + 5700378.

It is an arithmetic number, because the mean of its divisors is an integer number (358890892080).

Almost surely, 213152171357036 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 13152171357036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17226762819840).

13152171357036 is an abundant number, since it is smaller than the sum of its proper divisors (21301354282644).

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

13152171357036 is a wasteful number, since it uses less digits than its factorization.

13152171357036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212820 (or 3212812 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 13152171357036 in words is "thirteen trillion, one hundred fifty-two billion, one hundred seventy-one million, three hundred fifty-seven thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 227 334 454 501 668 681 908 1002 1362 1503 2004 2043 2724 3006 4086 4509 6012 6129 8172 9018 12258 18036 24516 37909 75818 113727 151636 227454 341181 454908 682362 1023543 1364724 2047086 3212413 4094172 6424826 9637239 12849652 19274478 28911717 38548956 57823434 86735151 115646868 173470302 346940604 536472971 729217751 1072945942 1458435502 1609418913 2145891884 2187653253 2916871004 3218837826 4375306506 4828256739 6437675652 6562959759 8750613012 9656513478 13125919518 14484770217 19313026956 19688879277 26251839036 28969540434 39377758554 57939080868 78755517108 121779364417 243558728834 365338093251 487117457668 730676186502 1096014279753 1461352373004 2192028559506 3288042839259 4384057119012 6576085678518 13152171357036