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45430060608 = 2632108772559
BaseRepresentation
bin101010010011110101…
…111011011001000000
311100021002200012022100
4222103311323121000
51221020043414413
632511551510400
73165541100202
oct522365733100
9140232605270
1045430060608
11182a30a2a39
12897a528400
13439004918a
1422ad81a772
1512ad58da73
hexa93d7b640

45430060608 has 84 divisors (see below), whose sum is σ = 130338657280. Its totient is φ = 15129213696.

The previous prime is 45430060607. The next prime is 45430060733. The reversal of 45430060608 is 80606003454.

45430060608 is a `hidden beast` number, since 4 + 5 + 43 + 0 + 0 + 6 + 0 + 608 = 666.

45430060608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45430060601) 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, 589833 + ... + 662391.

Almost surely, 245430060608 is an apocalyptic number.

45430060608 is a gapful number since it is divisible by the number (48) 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 45430060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65169328640).

45430060608 is an abundant number, since it is smaller than the sum of its proper divisors (84908596672).

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

45430060608 is a wasteful number, since it uses less digits than its factorization.

45430060608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73664 (or 73651 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45430060608 in words is "forty-five billion, four hundred thirty million, sixty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1087 2174 3261 4348 6522 8696 9783 13044 17392 19566 26088 34784 39132 52176 69568 72559 78264 104352 145118 156528 208704 217677 290236 313056 435354 580472 626112 653031 870708 1160944 1306062 1741416 2321888 2612124 3482832 4643776 5224248 6965664 10448496 13931328 20896992 41793984 78871633 157743266 236614899 315486532 473229798 630973064 709844697 946459596 1261946128 1419689394 1892919192 2523892256 2839378788 3785838384 5047784512 5678757576 7571676768 11357515152 15143353536 22715030304 45430060608