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60141616092 = 223231233231289
BaseRepresentation
bin111000000000101110…
…000011101111011100
312202020101001122111200
4320000232003233130
51441132223203332
643343443315500
74226236205415
oct700056035734
9182211048450
1060141616092
1123562413358
12b7a537bb90
135895bb1cac
142ca75d880c
15186edc817c
hexe00b83bdc

60141616092 has 72 divisors (see below), whose sum is σ = 157602856320. Its totient is φ = 19317173760.

The previous prime is 60141616021. The next prime is 60141616097. The reversal of 60141616092 is 29061614106.

60141616092 is a `hidden beast` number, since 6 + 0 + 1 + 41 + 6 + 1 + 609 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60141616097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144384 + ... + 375672.

It is an arithmetic number, because the mean of its divisors is an integer number (2188928560).

Almost surely, 260141616092 is an apocalyptic number.

60141616092 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60141616092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78801428160).

60141616092 is an abundant number, since it is smaller than the sum of its proper divisors (97461240228).

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

60141616092 is a wasteful number, since it uses less digits than its factorization.

60141616092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231563 (or 231558 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 60141616092 in words is "sixty billion, one hundred forty-one million, six hundred sixteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 233 279 372 466 558 699 932 1116 1398 2097 2796 4194 7223 8388 14446 21669 28892 43338 65007 86676 130014 231289 260028 462578 693867 925156 1387734 2081601 2775468 4163202 7169959 8326404 14339918 21509877 28679836 43019754 53890337 64529631 86039508 107780674 129059262 161671011 215561348 258118524 323342022 485013033 646684044 970026066 1670600447 1940052132 3341200894 5011801341 6682401788 10023602682 15035404023 20047205364 30070808046 60141616092