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48536107169796 = 2232292400392
BaseRepresentation
bin10110000100100101100010…
…11011010011100000000100
320100212000011202112101210100
423002102301123103200010
522330203421413413141
6251121102501324100
713136421660603141
oct1302226133234004
9210760152471710
1048536107169796
11145130581888a4
12553a758106630
132110c20a215cc
14bdb2355313c8
155928076460b6
hex2c24b16d3804

48536107169796 has 81 divisors (see below), whose sum is σ = 127068188486421. Its totient is φ = 15620425960608.

The previous prime is 48536107169741. The next prime is 48536107169813. The reversal of 48536107169796 is 69796170163584.

The square root of 48536107169796 is 6966786.

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

48536107169796 is a `hidden beast` number, since 4 + 8 + 536 + 1 + 0 + 7 + 16 + 9 + 79 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25451157267396 + 23084949902400 = 5044914^2 + 4804680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1212200745 + ... + 1212240783.

Almost surely, 248536107169796 is an apocalyptic number.

48536107169796 is the 6966786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48536107169796

48536107169796 is an abundant number, since it is smaller than the sum of its proper divisors (78532081316625).

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

48536107169796 is an frugal number, since it uses more digits than its factorization.

48536107169796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80146 (or 40073 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 48536107169796 in words is "forty-eight trillion, five hundred thirty-six billion, one hundred seven million, one hundred sixty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 30276 40039 80078 120117 160156 240234 360351 480468 720702 1161131 1441404 2322262 3483393 4644524 6966786 10450179 13933572 20900358 33672799 41800716 67345598 101018397 134691196 202036794 303055191 404073588 606110382 1212220764 1603121521 3206243042 4809364563 6412486084 9618729126 14428093689 19237458252 28856187378 46490524109 57712374756 92981048218 139471572327 185962096436 278943144654 418414716981 557886289308 836829433962 1348225199161 1673658867924 2696450398322 4044675597483 5392900796644 8089351194966 12134026792449 16178702389932 24268053584898 48536107169796