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145616466125152 = 25111732391232037
BaseRepresentation
bin100001000110111111111001…
…101111001010000101100000
3201002120210112220010112210201
4201012333321233022011200
5123041240010312001102
61233411140412034544
742446304530456101
oct4106777157120540
9632523486115721
10145616466125152
1142441661a068a0
12143b9543a62a54
13633375c93c889
1427d5c35b443a8
1511c7c42447987
hex846ff9bca160

145616466125152 has 48 divisors (see below), whose sum is σ = 314552227206672. Its totient is φ = 65806705630720.

The previous prime is 145616466125089. The next prime is 145616466125161. The reversal of 145616466125152 is 251521664616541.

It is a happy number.

145616466125152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145616466125093 and 145616466125102.

It is a congruent number.

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, 1195555123 + ... + 1195676914.

It is an arithmetic number, because the mean of its divisors is an integer number (6553171400139).

Almost surely, 2145616466125152 is an apocalyptic number.

It is an amenable number.

145616466125152 is an abundant number, since it is smaller than the sum of its proper divisors (168935761081520).

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

145616466125152 is a wasteful number, since it uses less digits than its factorization.

145616466125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391232231 (or 2391232223 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 55.

The spelling of 145616466125152 in words is "one hundred forty-five trillion, six hundred sixteen billion, four hundred sixty-six million, one hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 692 1384 1903 2768 3806 5536 7612 15224 30448 60896 2391232037 4782464074 9564928148 19129856296 26303552407 38259712592 52607104814 76519425184 105214209628 210428419256 413683142401 420856838512 827366284802 841713677024 1654732569604 3309465139208 4550514566411 6618930278416 9101029132822 13237860556832 18202058265644 36404116531288 72808233062576 145616466125152