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151203605640 = 23353594497817
BaseRepresentation
bin1000110011010001101…
…1111110110010001000
3112110021122021000102020
42030310123332302020
54434131110340030
6153243442004440
713631652304413
oct2146433766210
9473248230366
10151203605640
115914154795a
1225379946720
1311348a36b49
14746557cb7a
153dee5cd510
hex23346fec88

151203605640 has 128 divisors (see below), whose sum is σ = 455945760000. Its totient is φ = 40113963008.

The previous prime is 151203605627. The next prime is 151203605701. The reversal of 151203605640 is 46506302151.

151203605640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 19339012 + ... + 19346828.

It is an arithmetic number, because the mean of its divisors is an integer number (3562076250).

Almost surely, 2151203605640 is an apocalyptic number.

151203605640 is a gapful number since it is divisible by the number (10) 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 151203605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227972880000).

151203605640 is an abundant number, since it is smaller than the sum of its proper divisors (304742154360).

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

151203605640 is a wasteful number, since it uses less digits than its factorization.

151203605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8635 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 151203605640 its reverse (46506302151), we get a palindrome (197709907791).

The spelling of 151203605640 in words is "one hundred fifty-one billion, two hundred three million, six hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 449 718 898 1077 1347 1436 1795 1796 2154 2245 2694 2872 3590 3592 4308 4490 5385 5388 6735 7180 7817 8616 8980 10770 10776 13470 14360 15634 17960 21540 23451 26940 31268 39085 43080 46902 53880 62536 78170 93804 117255 156340 161191 187608 234510 312680 322382 469020 483573 644764 805955 938040 967146 1289528 1611910 1934292 2417865 2806303 3223820 3509833 3868584 4835730 5612606 6447640 7019666 8418909 9671460 10529499 11225212 14031515 14039332 16837818 17549165 19342920 21058998 22450424 28063030 28078664 33675636 35098330 42094545 42117996 52647495 56126060 67351272 70196660 84189090 84235992 105294990 112252120 140393320 168378180 210589980 336756360 421179960 1260030047 2520060094 3780090141 5040120188 6300150235 7560180282 10080240376 12600300470 15120360564 18900450705 25200600940 30240721128 37800901410 50401201880 75601802820 151203605640