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83153020141125 = 32531132032097857
BaseRepresentation
bin10010111010000010010010…
…001110100011111001000101
3101220102100110221111212201100
4102322002102032203321011
541344334341124004000
6452503545312450313
723341415233116024
oct2272022216437105
9356370427455640
1083153020141125
1124549aa8090770
1293ab742249999
1337523b085850c
1416768b03a88bb
15993002e7da00
hex4ba0923a3e45

83153020141125 has 96 divisors (see below), whose sum is σ = 163575325210752. Its totient is φ = 40304009472000.

The previous prime is 83153020141123. The next prime is 83153020141153. The reversal of 83153020141125 is 52114102035138.

83153020141125 is a `hidden beast` number, since 8 + 3 + 1 + 5 + 30 + 201 + 411 + 2 + 5 = 666.

It is not a de Polignac number, because 83153020141125 - 21 = 83153020141123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83153020141125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83153020141123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38588197 + ... + 40686053.

It is an arithmetic number, because the mean of its divisors is an integer number (1703909637612).

Almost surely, 283153020141125 is an apocalyptic number.

It is an amenable number.

83153020141125 is a deficient number, since it is larger than the sum of its proper divisors (80422305069627).

83153020141125 is a wasteful number, since it uses less digits than its factorization.

83153020141125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101092 (or 2101079 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 83153020141125 in words is "eighty-three trillion, one hundred fifty-three billion, twenty million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 3203 4125 9609 12375 16015 28827 35233 48045 80075 105699 144135 176165 240225 317097 400375 528495 720675 880825 1201125 1585485 2097857 2642475 3603375 4404125 6293571 7927425 10489285 13212375 18880713 23076427 31467855 39637125 52446425 69229281 94403565 115382135 157339275 207687843 262232125 346146405 472017825 576910675 786696375 1038439215 1730732025 2360089125 2884553375 5192196075 6719435971 8653660125 20158307913 25960980375 33597179855 60474923739 73913795681 100791539565 167985899275 221741387043 302374618695 369568978405 503957697825 665224161129 839929496375 1108706935215 1511873093475 1847844892025 2519788489125 3326120805645 5543534676075 7559365467375 9239224460125 16630604028225 27717673380375 83153020141125