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73145579440 = 2452931528267
BaseRepresentation
bin100010000011111010…
…0001111011110110000
320222210122022102122211
41010013310033132300
52144300232020230
653334055341504
75166421111123
oct1040764173660
9228718272584
1073145579440
11290258554aa
1212214381894
136b8904096b
14377c6b63ba
151d8185e42a
hex1107d0f7b0

73145579440 has 40 divisors (see below), whose sum is σ = 175927735440. Its totient is φ = 28249326336.

The previous prime is 73145579417. The next prime is 73145579473. The reversal of 73145579440 is 4497554137.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×731455794402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15761814 + ... + 15766453.

It is an arithmetic number, because the mean of its divisors is an integer number (4398193386).

Almost surely, 273145579440 is an apocalyptic number.

It is an amenable number.

73145579440 is an abundant number, since it is smaller than the sum of its proper divisors (102782156000).

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

73145579440 is a wasteful number, since it uses less digits than its factorization.

73145579440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31528309 (or 31528303 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 73145579440 in words is "seventy-three billion, one hundred forty-five million, five hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 31528267 63056534 126113068 157641335 252226136 315282670 504452272 630565340 914319743 1261130680 1828639486 2522261360 3657278972 4571598715 7314557944 9143197430 14629115888 18286394860 36572789720 73145579440