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151322807052 = 2232374114531907
BaseRepresentation
bin1000110011101110001…
…0101100101100001100
3112110120221120002000100
42030323202230230030
54434402114311202
6153303340531100
713634630431404
oct2147342545414
9473527502010
10151322807052
11591a286371a
12253b1850a90
1311367641421
14747732b804
153e09cc741c
hex233b8acb0c

151322807052 has 144 divisors (see below), whose sum is σ = 402918358752. Its totient is φ = 47822607360.

The previous prime is 151322807039. The next prime is 151322807087. The reversal of 151322807052 is 250708223151.

151322807052 is a `hidden beast` number, since 1 + 513 + 2 + 28 + 0 + 70 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 151322806998 and 151322807016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79350283 + ... + 79352189.

It is an arithmetic number, because the mean of its divisors is an integer number (2798044158).

Almost surely, 2151322807052 is an apocalyptic number.

151322807052 is a gapful number since it is divisible by the number (12) 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 151322807052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201459179376).

151322807052 is an abundant number, since it is smaller than the sum of its proper divisors (251595551700).

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

151322807052 is a wasteful number, since it uses less digits than its factorization.

151322807052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 151322807052 in words is "one hundred fifty-one billion, three hundred twenty-two million, eight hundred seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1453 1476 1517 1907 2906 3034 3814 4359 4551 5721 5812 6068 7628 8718 9102 11442 13077 13653 17163 17436 18204 22884 26154 27306 34326 52308 53761 54612 59573 68652 70559 78187 107522 119146 141118 156374 161283 178719 211677 215044 234561 238292 282236 312748 322566 357438 423354 469122 483849 536157 635031 645132 703683 714876 846708 938244 967698 1072314 1270062 1407366 1935396 2144628 2204201 2540124 2770871 2814732 2892919 4408402 5541742 5785838 6612603 8312613 8678757 8816804 11083484 11571676 13225206 16625226 17357514 19837809 24937839 26036271 26450412 33250452 34715028 39675618 49875678 52072542 79351236 99751356 102522227 104145084 113605711 205044454 227211422 307566681 340817133 410088908 454422844 615133362 681634266 922700043 1022451399 1230266724 1363268532 1845400086 2044902798 3690800172 4089805596 4203411307 8406822614 12610233921 16813645228 25220467842 37830701763 50440935684 75661403526 151322807052