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857872150152 = 2331753106337321
BaseRepresentation
bin11000111101111010010…
…10100010111010001000
310001000022120210120111020
430132331022202322020
5103023410232301102
61454033453232440
7115656604650603
oct14367512427210
93030276716436
10857872150152
11300904511766
1211a317792720
1362b879175c4
142d74239d33a
15174add2abbc
hexc7bd2a2e88

857872150152 has 128 divisors (see below), whose sum is σ = 2315922658560. Its totient is φ = 263802839040.

The previous prime is 857872150127. The next prime is 857872150171. The reversal of 857872150152 is 251051278758.

857872150152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 857872150095 and 857872150104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22967652 + ... + 23004972.

It is an arithmetic number, because the mean of its divisors is an integer number (18093145770).

Almost surely, 2857872150152 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 857872150152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157961329280).

857872150152 is an abundant number, since it is smaller than the sum of its proper divisors (1458050508408).

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

857872150152 is a wasteful number, since it uses less digits than its factorization.

857872150152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38463 (or 38459 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 51.

The spelling of 857872150152 in words is "eight hundred fifty-seven billion, eight hundred seventy-two million, one hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1063 1272 1802 2126 2703 3189 3604 4252 5406 6378 7208 8504 10812 12756 18071 21624 25512 36142 37321 54213 56339 72284 74642 108426 111963 112678 144568 149284 169017 216852 223926 225356 298568 338034 433704 447852 450712 634457 676068 895704 957763 1268914 1352136 1903371 1915526 1978013 2537828 2873289 3806742 3831052 3956026 5075656 5746578 5934039 7613484 7662104 7912052 11493156 11868078 15226968 15824104 22986312 23736156 33626221 39672223 47472312 67252442 79344446 100878663 119016669 134504884 158688892 201757326 238033338 269009768 317377784 403514652 476066676 674427791 807029304 952133352 1348855582 2023283373 2102627819 2697711164 4046566746 4205255638 5395422328 6307883457 8093133492 8410511276 12615766914 16186266984 16821022552 25231533828 35744672923 50463067656 71489345846 107234018769 142978691692 214468037538 285957383384 428936075076 857872150152