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45120760236 = 223329107134639
BaseRepresentation
bin101010000001011010…
…000010100110101100
311022110112200002222000
4222001122002212230
51214401403311421
632421142252300
73155064063636
oct520132024654
9138415602860
1045120760236
1118154546aa2
1288b2a27090
134340c430c6
142280705a56
151291344226
hexa816829ac

45120760236 has 96 divisors (see below), whose sum is σ = 122145408000. Its totient is φ = 14385801024.

The previous prime is 45120760213. The next prime is 45120760241. The reversal of 45120760236 is 63206702154.

45120760236 is a `hidden beast` number, since 4 + 5 + 12 + 0 + 7 + 602 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45120760236.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267805 + ... + 402443.

It is an arithmetic number, because the mean of its divisors is an integer number (1272348000).

Almost surely, 245120760236 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 45120760236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61072704000).

45120760236 is an abundant number, since it is smaller than the sum of its proper divisors (77024647764).

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

45120760236 is a wasteful number, since it uses less digits than its factorization.

45120760236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134788 (or 134780 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 45120760236 in words is "forty-five billion, one hundred twenty million, seven hundred sixty thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 107 108 116 174 214 261 321 348 428 522 642 783 963 1044 1284 1566 1926 2889 3103 3132 3852 5778 6206 9309 11556 12412 18618 27927 37236 55854 83781 111708 134639 167562 269278 335124 403917 538556 807834 1211751 1615668 2423502 3635253 3904531 4847004 7270506 7809062 11713593 14406373 14541012 15618124 23427186 28812746 35140779 43219119 46854372 57625492 70281558 86438238 105422337 129657357 140563116 172876476 210844674 259314714 388972071 417784817 421689348 518629428 777944142 835569634 1253354451 1555888284 1671139268 2506708902 3760063353 5013417804 7520126706 11280190059 15040253412 22560380118 45120760236