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78106166952 = 23311297277279
BaseRepresentation
bin100100010111101111…
…1011000011010101000
321110121100112101110020
41020233133120122220
52234430134320302
655514222120440
75433354315312
oct1105737303250
9243540471406
1078106166952
1130140993300
1213179720120
137499980248
143acd4387b2
1520720ccebc
hex122f7d86a8

78106166952 has 96 divisors (see below), whose sum is σ = 216844051200. Its totient is φ = 23424445440.

The previous prime is 78106166947. The next prime is 78106166977. The reversal of 78106166952 is 25966160187.

It is a super-2 number, since 2×781061669522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78106166895 and 78106166904.

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 23 ways as a sum of consecutive naturals, for example, 143049 + ... + 420327.

It is an arithmetic number, because the mean of its divisors is an integer number (2258792200).

Almost surely, 278106166952 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 78106166952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108422025600).

78106166952 is an abundant number, since it is smaller than the sum of its proper divisors (138737884248).

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

78106166952 is a wasteful number, since it uses less digits than its factorization.

78106166952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277407 (or 277392 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 78106166952 in words is "seventy-eight billion, one hundred six million, one hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 121 132 194 242 264 291 363 388 484 582 726 776 968 1067 1164 1452 2134 2328 2904 3201 4268 6402 8536 11737 12804 23474 25608 35211 46948 70422 93896 140844 277279 281688 554558 831837 1109116 1663674 2218232 3050069 3327348 6100138 6654696 9150207 12200276 18300414 24400552 26896063 33550759 36600828 53792126 67101518 73201656 80688189 100652277 107584252 134203036 161376378 201304554 215168504 268406072 295856693 322752756 402609108 591713386 645505512 805218216 887570079 1183426772 1775140158 2366853544 3254423623 3550280316 6508847246 7100560632 9763270869 13017694492 19526541738 26035388984 39053083476 78106166952