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48198902364 = 22332940138377
BaseRepresentation
bin101100111000111000…
…001110001001011100
311121102001201221011000
4230320320032021130
51242202404333424
634050421430300
73324261624144
oct547070161134
9147361657130
1048198902364
1119494029808
12941186b390
134711887192
14249344d924
1513c16c13c9
hexb38e0e25c

48198902364 has 96 divisors (see below), whose sum is σ = 129594830400. Its totient is φ = 15473203200.

The previous prime is 48198902359. The next prime is 48198902417. The reversal of 48198902364 is 46320989184.

48198902364 is a `hidden beast` number, since 4 + 8 + 198 + 90 + 2 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48198902364.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1236744 + ... + 1275120.

It is an arithmetic number, because the mean of its divisors is an integer number (1349946150).

Almost surely, 248198902364 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 48198902364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64797415200).

48198902364 is an abundant number, since it is smaller than the sum of its proper divisors (81395928036).

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

48198902364 is a wasteful number, since it uses less digits than its factorization.

48198902364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38820 (or 38812 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48198902364 in words is "forty-eight billion, one hundred ninety-eight million, nine hundred two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 401 522 783 802 1044 1203 1566 1604 2406 3132 3609 4812 7218 10827 11629 14436 21654 23258 34887 38377 43308 46516 69774 76754 104661 115131 139548 153508 209322 230262 313983 345393 418644 460524 627966 690786 1036179 1112933 1255932 1381572 2072358 2225866 3338799 4144716 4451732 6677598 10016397 13355196 15389177 20032794 30049191 30778354 40065588 46167531 60098382 61556708 92335062 120196764 138502593 184670124 277005186 415507779 446286133 554010372 831015558 892572266 1338858399 1662031116 1785144532 2677716798 4016575197 5355433596 8033150394 12049725591 16066300788 24099451182 48198902364