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152005737192 = 23343837272441
BaseRepresentation
bin1000110110010000111…
…1110111101011101000
3112112100112121112001020
42031210033313223220
54442301432042232
6153455214252440
713660562306361
oct2154417675350
9475315545036
10152005737192
11595133041a1
12255624b7120
1311445c84cba
1474ddd00b68
153e49c26e2c
hex23643f7ae8

152005737192 has 128 divisors (see below), whose sum is σ = 394239605760. Its totient is φ = 48806714880.

The previous prime is 152005737151. The next prime is 152005737251. The reversal of 152005737192 is 291737500251.

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, 62270692 + ... + 62273132.

It is an arithmetic number, because the mean of its divisors is an integer number (3079996920).

Almost surely, 2152005737192 is an apocalyptic number.

152005737192 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 152005737192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197119802880).

152005737192 is an abundant number, since it is smaller than the sum of its proper divisors (242233868568).

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

152005737192 is a wasteful number, since it uses less digits than its factorization.

152005737192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 152005737192 in words is "one hundred fifty-two billion, five million, seven hundred thirty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 249 258 332 344 498 516 664 727 996 1032 1454 1992 2181 2441 2908 3569 4362 4882 5816 7138 7323 8724 9764 10707 14276 14646 17448 19528 21414 28552 29292 31261 42828 58584 60341 62522 85656 93783 104963 120682 125044 181023 187566 202603 209926 241364 250088 314889 362046 375132 405206 419852 482728 607809 629778 724092 750264 810412 839704 1215618 1259556 1448184 1620824 1774607 2431236 2519112 2594663 3549214 4862472 5189326 5323821 7098428 7783989 8711929 10378652 10647642 14196856 15567978 17423858 20757304 21295284 26135787 31135956 34847716 42590568 52271574 62271912 69695432 76308101 104543148 147292381 152616202 209086296 228924303 294584762 305232404 441877143 457848606 589169524 610464808 883754286 915697212 1178339048 1767508572 1831394424 3535017144 6333572383 12667144766 19000717149 25334289532 38001434298 50668579064 76002868596 152005737192