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45900404360 = 2358317977237
BaseRepresentation
bin101010101111111000…
…001001011010001000
311101110212201010122022
4222233320021122020
51223001000414420
633030352544012
73213311666606
oct525770113210
9141425633568
1045900404360
1118514644188
128a8bb52008
1344366198a5
142316092876
1512d99e9c25
hexaafe09688

45900404360 has 64 divisors (see below), whose sum is σ = 105105470400. Its totient is φ = 18037386496.

The previous prime is 45900404351. The next prime is 45900404401. The reversal of 45900404360 is 6340400954.

It is a self number, because there is not a number n which added to its sum of digits gives 45900404360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555662 + ... + 632898.

It is an arithmetic number, because the mean of its divisors is an integer number (1642272975).

Almost surely, 245900404360 is an apocalyptic number.

45900404360 is a gapful number since it is divisible by the number (40) 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 45900404360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52552735200).

45900404360 is an abundant number, since it is smaller than the sum of its proper divisors (59205066040).

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

45900404360 is a wasteful number, since it uses less digits than its factorization.

45900404360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77510 (or 77506 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 45900404360 in words is "forty-five billion, nine hundred million, four hundred four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 83 166 179 332 358 415 664 716 830 895 1432 1660 1790 3320 3580 7160 14857 29714 59428 74285 77237 118856 148570 154474 297140 308948 386185 594280 617896 772370 1544740 3089480 6410671 12821342 13825423 25642684 27650846 32053355 51285368 55301692 64106710 69127115 110603384 128213420 138254230 256426840 276508460 553016920 1147510109 2295020218 4590040436 5737550545 9180080872 11475101090 22950202180 45900404360