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152613133020 = 223352473114281
BaseRepresentation
bin1000111000100001110…
…0111001101011011100
3112120220212112102111000
42032020130321223130
510000022430224040
6154035353030300
714011616140605
oct2161034715334
9476825472430
10152613133020
11597a5153717
12256b19b5390
1311511a7000a
14755a850dac
153e83206130
hex2388739adc

152613133020 has 96 divisors (see below), whose sum is σ = 474992562240. Its totient is φ = 40680023040.

The previous prime is 152613133003. The next prime is 152613133031. The reversal of 152613133020 is 20331316251.

152613133020 is a `hidden beast` number, since 1 + 5 + 2 + 613 + 13 + 30 + 2 + 0 = 666.

152613133020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1278280 + ... + 1392560.

It is an arithmetic number, because the mean of its divisors is an integer number (4947839190).

Almost surely, 2152613133020 is an apocalyptic number.

152613133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152613133020 is an abundant number, since it is smaller than the sum of its proper divisors (322379429220).

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

152613133020 is a wasteful number, since it uses less digits than its factorization.

152613133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116772 (or 116764 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 152613133020 its reverse (20331316251), we get a palindrome (172944449271).

The spelling of 152613133020 in words is "one hundred fifty-two billion, six hundred thirteen million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2473 4946 7419 9892 12365 14838 22257 24730 29676 37095 44514 49460 66771 74190 89028 111285 114281 133542 148380 222570 228562 267084 333855 342843 445140 457124 571405 667710 685686 1028529 1142810 1335420 1371372 1714215 2057058 2285620 3085587 3428430 4114116 5142645 6171174 6856860 10285290 12342348 15427935 20570580 30855870 61711740 282616913 565233826 847850739 1130467652 1413084565 1695701478 2543552217 2826169130 3391402956 4239253695 5087104434 5652338260 7630656651 8478507390 10174208868 12717761085 15261313302 16957014780 25435522170 30522626604 38153283255 50871044340 76306566510 152613133020