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145520212520 = 23559163378289
BaseRepresentation
bin1000011110000110101…
…1100011101000101000
3111220121112221201201202
42013201223203220220
54341011133300040
6150503455103332
713341061253234
oct2074153435050
9456545851652
10145520212520
1156795403551
1224252511b48
1310951431a37
1470868275c4
153bba685015
hex21e1ae3a28

145520212520 has 64 divisors (see below), whose sum is σ = 335013624000. Its totient is φ = 56870304768.

The previous prime is 145520212459. The next prime is 145520212543. The reversal of 145520212520 is 25212025541.

It is a happy number.

It is a super-2 number, since 2×1455202125202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195536 + ... + 573824.

It is an arithmetic number, because the mean of its divisors is an integer number (5234587875).

Almost surely, 2145520212520 is an apocalyptic number.

145520212520 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 145520212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167506812000).

145520212520 is an abundant number, since it is smaller than the sum of its proper divisors (189493411480).

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

145520212520 is a wasteful number, since it uses less digits than its factorization.

145520212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378522 (or 378518 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 145520212520 in words is "one hundred forty-five billion, five hundred twenty million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 163 236 295 326 472 590 652 815 1180 1304 1630 2360 3260 6520 9617 19234 38468 48085 76936 96170 192340 378289 384680 756578 1513156 1891445 3026312 3782890 7565780 15131560 22319051 44638102 61661107 89276204 111595255 123322214 178552408 223190510 246644428 308305535 446381020 493288856 616611070 892762040 1233222140 2466444280 3638005313 7276010626 14552021252 18190026565 29104042504 36380053130 72760106260 145520212520