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151502212540 = 22571981170229
BaseRepresentation
bin1000110100011000111…
…1000100110110111100
3112111001110010211002001
42031012033010312330
54440234031300130
6153333230112044
713642236362440
oct2150617046674
9474043124061
10151502212540
115928505a718
122544194b624
1311395867813
1474930ac820
153e1a9146ca
hex23463c4dbc

151502212540 has 96 divisors (see below), whose sum is σ = 383219827200. Its totient is φ = 49148363520.

The previous prime is 151502212531. The next prime is 151502212571. The reversal of 151502212540 is 45212205151.

151502212540 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 151502212499 and 151502212508.

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, 2122146 + ... + 2192374.

It is an arithmetic number, because the mean of its divisors is an integer number (3991873200).

Almost surely, 2151502212540 is an apocalyptic number.

151502212540 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 151502212540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191609913600).

151502212540 is an abundant number, since it is smaller than the sum of its proper divisors (231717614660).

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

151502212540 is a wasteful number, since it uses less digits than its factorization.

151502212540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71075 (or 71073 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 151502212540 its reverse (45212205151), we get a palindrome (196714417691).

The spelling of 151502212540 in words is "one hundred fifty-one billion, five hundred two million, two hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 811 1330 1622 2660 3244 4055 5677 8110 11354 15409 16220 22708 28385 30818 56770 61636 70229 77045 107863 113540 140458 154090 215726 280916 308180 351145 431452 491603 539315 702290 983206 1078630 1334351 1404580 1966412 2157260 2458015 2668702 4916030 5337404 6671755 9340457 9832060 13343510 18680914 26687020 37361828 46702285 56955719 93404570 113911438 186809140 227822876 284778595 398690033 569557190 797380066 1082158661 1139114380 1594760132 1993450165 2164317322 3986900330 4328634644 5410793305 7575110627 7973800660 10821586610 15150221254 21643173220 30300442508 37875553135 75751106270 151502212540