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146491670576740 = 22531617363184089
BaseRepresentation
bin100001010011101110111111…
…111111001011111001100100
3201012200110121101201021002011
4201103232333333023321210
5123200104420131423430
61235321202220524004
742566450105533036
oct4123567777137144
9635613541637064
10146491670576740
1142749850013115
121451b0980b0604
13639814a347a38
14282633dda3c56
1511e08b7bda22a
hex853bbffcbe64

146491670576740 has 192 divisors, whose sum is σ = 327705785487360. Its totient is φ = 54924936192000.

The previous prime is 146491670576737. The next prime is 146491670576747. The reversal of 146491670576740 is 47675076194641.

It is a super-2 number, since 2×1464916705767402 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (146491670576747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1742060616 + ... + 1742144704.

It is an arithmetic number, because the mean of its divisors is an integer number (1706800966080).

Almost surely, 2146491670576740 is an apocalyptic number.

146491670576740 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 146491670576740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163852892743680).

146491670576740 is an abundant number, since it is smaller than the sum of its proper divisors (181214114910620).

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

146491670576740 is a wasteful number, since it uses less digits than its factorization.

146491670576740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84894 (or 84892 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 67.

The spelling of 146491670576740 in words is "one hundred forty-six trillion, four hundred ninety-one billion, six hundred seventy million, five hundred seventy-six thousand, seven hundred forty".