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145476920208256 = 2772131784204771
BaseRepresentation
bin100001000100111101111100…
…001001101110101110000000
3201002002110100200212110222021
4201010331330021232232000
5123031443213033131011
61233223101410451224
742433234461653200
oct4104757411565600
9632073320773867
10145476920208256
114239846297804a
121439649a293b14
136323551176c10
1427cd198958400
1511c42c651e471
hex844f7c26eb80

145476920208256 has 96 divisors (see below), whose sum is σ = 363067829054280. Its totient is φ = 57551309061120.

The previous prime is 145476920208253. The next prime is 145476920208281. The reversal of 145476920208256 is 652802029674541.

It is a junction number, because it is equal to n+sod(n) for n = 145476920208194 and 145476920208203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145476920208253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892020850 + ... + 892183921.

Almost surely, 2145476920208256 is an apocalyptic number.

145476920208256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145476920208256 is an abundant number, since it is smaller than the sum of its proper divisors (217590908846024).

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

145476920208256 is a wasteful number, since it uses less digits than its factorization.

145476920208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784204812 (or 1784204793 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 145476920208256 in words is "one hundred forty-five trillion, four hundred seventy-six billion, nine hundred twenty million, two hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 2548 2912 3136 5096 5824 6272 10192 11648 20384 40768 81536 1784204771 3568409542 7136819084 12489433397 14273638168 23194662023 24978866794 28547276336 46389324046 49957733588 57094552672 87426033779 92778648092 99915467176 114189105344 162362634161 174852067558 185557296184 199830934352 228378210688 324725268322 349704135116 371114592368 399661868704 649450536644 699408270232 742229184736 799323737408 1136538439127 1298901073288 1398816540464 1484458369472 1598647474816 2273076878254 2597802146576 2797633080928 2968916738944 4546153756508 5195604293152 5595266161856 9092307513016 10391208586304 11190532323712 18184615026032 20782417172608 36369230052064 72738460104128 145476920208256