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45153640364 = 227173127711047
BaseRepresentation
bin101010000011010111…
…011101111110101100
311022112211112121000112
4222003113131332230
51214433312442424
632424315115152
73155643416240
oct520327357654
9138484477015
1045153640364
1118171064358
128901a42ab8
1343479b5cc1
142284c24420
15129418b60e
hexa835ddfac

45153640364 has 96 divisors (see below), whose sum is σ = 99069272064. Its totient is φ = 17560488960.

The previous prime is 45153640307. The next prime is 45153640369. The reversal of 45153640364 is 46304635154.

It is not an unprimeable number, because it can be changed into a prime (45153640369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4081889 + ... + 4092935.

It is an arithmetic number, because the mean of its divisors is an integer number (1031971584).

Almost surely, 245153640364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45153640364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49534636032).

45153640364 is an abundant number, since it is smaller than the sum of its proper divisors (53915631700).

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

45153640364 is a wasteful number, since it uses less digits than its factorization.

45153640364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 45153640364 in words is "forty-five billion, one hundred fifty-three million, six hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 277 434 476 527 554 868 1054 1108 1939 2108 3689 3878 4709 7378 7756 8587 9418 11047 14756 17174 18836 22094 32963 34348 44188 60109 65926 77329 120218 131852 145979 154658 187799 240436 291958 309316 342457 375598 583916 684914 751196 1021853 1314593 1369828 2043706 2397199 2629186 3060019 4087412 4794398 5258372 5821769 6120038 9588796 11643538 12240076 21420133 23287076 40752383 42840266 52020323 81504766 85680532 94860589 104040646 163009532 189721178 208081292 364142261 379442356 664024123 728284522 1328048246 1456569044 1612630013 2656096492 3225260026 6450520052 11288410091 22576820182 45153640364