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151561006050 = 235213918733881
BaseRepresentation
bin1000110100100110111…
…1010110101111100010
3112111012112202211121110
42031021233112233202
54440344104143200
6153343130204150
713643552203206
oct2151157265742
9474175684543
10151561006050
11593052670a3
1225459583656
13113a4ab158c
14749ac14b06
153e20b79b50
hex2349bd6be2

151561006050 has 96 divisors (see below), whose sum is σ = 378875125440. Its totient is φ = 40093747200.

The previous prime is 151561006043. The next prime is 151561006061. The reversal of 151561006050 is 50600165151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 151561005999 and 151561006017.

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, 39050110 + ... + 39053990.

It is an arithmetic number, because the mean of its divisors is an integer number (3946615890).

Almost surely, 2151561006050 is an apocalyptic number.

151561006050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151561006050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189437562720).

151561006050 is an abundant number, since it is smaller than the sum of its proper divisors (227314119390).

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

151561006050 is a wasteful number, since it uses less digits than its factorization.

151561006050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 151561006050 in words is "one hundred fifty-one billion, five hundred sixty-one million, six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 139 150 278 417 695 834 1390 1873 2085 3475 3746 3881 4170 5619 6950 7762 9365 10425 11238 11643 18730 19405 20850 23286 28095 38810 46825 56190 58215 93650 97025 116430 140475 194050 260347 280950 291075 520694 539459 582150 781041 1078918 1301735 1562082 1618377 2603470 2697295 3236754 3905205 5394590 6508675 7269113 7810410 8091885 13017350 13486475 14538226 16183770 19526025 21807339 26972950 36345565 39052050 40459425 43614678 72691130 80918850 109036695 181727825 218073390 363455650 545183475 1010406707 1090366950 2020813414 3031220121 5052033535 6062440242 10104067070 15156100605 25260167675 30312201210 50520335350 75780503025 151561006050