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145622556648 = 23331739657559
BaseRepresentation
bin1000011110011111000…
…1111101111111101000
3111220212200112100111000
42013213301331333220
54341213333303043
6150521552435000
713343443210512
oct2074761757750
9456780470430
10145622556648
1156838156178
1224280848a60
13109696b64aa
147096268bb2
153bc464e2d3
hex21e7c7dfe8

145622556648 has 64 divisors (see below), whose sum is σ = 428301648000. Its totient is φ = 45685506816.

The previous prime is 145622556641. The next prime is 145622556679. The reversal of 145622556648 is 846655226541.

145622556648 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 22 + 556 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 145622556594 and 145622556603.

It is not an unprimeable number, because it can be changed into a prime (145622556641) 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, 19825108 + ... + 19832451.

It is an arithmetic number, because the mean of its divisors is an integer number (6692213250).

Almost surely, 2145622556648 is an apocalyptic number.

145622556648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145622556648 is an abundant number, since it is smaller than the sum of its proper divisors (282679091352).

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

145622556648 is a wasteful number, since it uses less digits than its factorization.

145622556648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39657591 (or 39657581 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 145622556648 in words is "one hundred forty-five billion, six hundred twenty-two million, five hundred fifty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 39657559 79315118 118972677 158630236 237945354 317260472 356918031 475890708 674178503 713836062 951781416 1070754093 1348357006 1427672124 2022535509 2141508186 2696714012 2855344248 4045071018 4283016372 5393428024 6067606527 8090142036 8566032744 12135213054 16180284072 18202819581 24270426108 36405639162 48540852216 72811278324 145622556648