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72051233076192 = 25314592137240719
BaseRepresentation
bin10000011000011110111100…
…001001110011001111100000
3100110010000211022112112221010
4100120132330021303033200
533420441411131414232
6413123513551100520
721114346503062136
oct2030367411631740
9313100738475833
1072051233076192
1120a59835777397
1280b8018211740
13312852c613476
1413b1426705756
1584e3407390cc
hex4187bc2733e0

72051233076192 has 96 divisors (see below), whose sum is σ = 189353471731200. Its totient is φ = 23989285721088.

The previous prime is 72051233076169. The next prime is 72051233076259. The reversal of 72051233076192 is 29167033215027.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299196409 + ... + 299437127.

It is an arithmetic number, because the mean of its divisors is an integer number (1972431997200).

Almost surely, 272051233076192 is an apocalyptic number.

It is an amenable number.

72051233076192 is an abundant number, since it is smaller than the sum of its proper divisors (117302238655008).

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

72051233076192 is a wasteful number, since it uses less digits than its factorization.

72051233076192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244328 (or 244320 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 72051233076192 in words is "seventy-two trillion, fifty-one billion, two hundred thirty-three million, seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1459 2137 2918 4274 4377 5836 6411 8548 8754 11672 12822 17096 17508 23344 25644 34192 35016 46688 51288 68384 70032 102576 140064 205152 240719 481438 722157 962876 1444314 1925752 2888628 3117883 3851504 5777256 6235766 7703008 9353649 11554512 12471532 18707298 23109024 24943064 37414596 49886128 74829192 99772256 149658384 299316768 351209021 514416503 702418042 1028833006 1053627063 1404836084 1543249509 2057666012 2107254126 2809672168 3086499018 4115332024 4214508252 5619344336 6172998036 8230664048 8429016504 11238688672 12345996072 16461328096 16858033008 24691992144 33716066016 49383984288 750533677877 1501067355754 2251601033631 3002134711508 4503202067262 6004269423016 9006404134524 12008538846032 18012808269048 24017077692064 36025616538096 72051233076192