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73677006672 = 2436773313829
BaseRepresentation
bin100010010011101111…
…1011110011101010000
321001011200021201202220
41010213133132131100
52201342303203142
653502521541040
75215533136503
oct1044737363520
9231150251686
1073677006672
1129278827665
1212342344780
136c4217a549
1437cd0cd13a
151db33342ec
hex11277de750

73677006672 has 80 divisors (see below), whose sum is σ = 195819877440. Its totient is φ = 23860970496.

The previous prime is 73677006671. The next prime is 73677006677. The reversal of 73677006672 is 27660077637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73677006671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77854 + ... + 391682.

It is an arithmetic number, because the mean of its divisors is an integer number (2447748468).

Almost surely, 273677006672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73677006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97909938720).

73677006672 is an abundant number, since it is smaller than the sum of its proper divisors (122142870768).

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

73677006672 is a wasteful number, since it uses less digits than its factorization.

73677006672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313980 (or 313974 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 51.

The spelling of 73677006672 in words is "seventy-three billion, six hundred seventy-seven million, six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 73 134 146 201 219 268 292 402 438 536 584 804 876 1072 1168 1608 1752 3216 3504 4891 9782 14673 19564 29346 39128 58692 78256 117384 234768 313829 627658 941487 1255316 1882974 2510632 3765948 5021264 7531896 15063792 21026543 22909517 42053086 45819034 63079629 68728551 84106172 91638068 126159258 137457102 168212344 183276136 252318516 274914204 336424688 366552272 504637032 549828408 1009274064 1099656816 1534937639 3069875278 4604812917 6139750556 9209625834 12279501112 18419251668 24559002224 36838503336 73677006672