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48034954518516 = 223279911106917377
BaseRepresentation
bin10101110110000000000100…
…11001101001111111110100
320022002002121120101221020200
422323000002121221333310
522244001041324043031
6250054541541000500
713055260644421230
oct1273000231517764
9208062546357220
1048034954518516
111433a567614439
1254795b50b3130
1320a58a4b49a74
14bc0c931c55c0
1558477572b8e6
hex2bb002669ff4

48034954518516 has 144 divisors (see below), whose sum is σ = 138928218024960. Its totient is φ = 13708396247040.

The previous prime is 48034954518479. The next prime is 48034954518553. The reversal of 48034954518516 is 61581545943084.

It is a happy number.

48034954518516 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 4 + 9 + 545 + 1 + 85 + 1 + 6 = 666.

48034954518516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48034954518479) and next prime (48034954518553).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2764274820 + ... + 2764292196.

It is an arithmetic number, because the mean of its divisors is an integer number (964779291840).

Almost surely, 248034954518516 is an apocalyptic number.

It is an amenable number.

48034954518516 is an abundant number, since it is smaller than the sum of its proper divisors (90893263506444).

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

48034954518516 is a wasteful number, since it uses less digits than its factorization.

48034954518516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29454 (or 29449 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 48034954518516 in words is "forty-eight trillion, thirty-four billion, nine hundred fifty-four million, five hundred eighteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 991 1982 2973 3964 5946 6937 8919 11069 11892 13874 17377 17838 20811 22138 27748 33207 34754 35676 41622 44276 52131 62433 66414 69508 77483 83244 99621 104262 121639 124866 132828 154966 156393 199242 208524 232449 243278 249732 309932 312786 364917 398484 464898 486556 625572 697347 729834 929796 1094751 1394694 1459668 2189502 2789388 4379004 10969379 17220607 21938758 32908137 34441214 43877516 51661821 65816274 68882428 76785653 98724411 103323642 120544249 131632548 153571306 154985463 192346013 197448822 206647284 230356959 241088498 307142612 309970926 361632747 384692026 394897644 460713918 482176996 577038039 619941852 691070877 723265494 769384052 921427836 1084898241 1154076078 1346422091 1382141754 1446530988 1731114117 2169796482 2308152156 2692844182 2764283508 3462228234 4039266273 4339592964 5385688364 6924456468 8078532546 12117798819 16157065092 24235597638 48471195276 190614898883 381229797766 571844696649 762459595532 1143689393298 1334304292181 1715534089947 2287378786596 2668608584362 3431068179894 4002912876543 5337217168724 6862136359788 8005825753086 12008738629629 16011651506172 24017477259258 48034954518516