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46284234495912 = 23337211145077091
BaseRepresentation
bin10101000011000011000110…
…10110110001011110101000
320001212201200212211000002000
422201201203112301132220
522031310103012332122
6242234403411011000
712514632322646520
oct1241414326613650
9201781625730060
1046284234495912
11138250408221a6
125236240599a60
131ca977a4446ca
14b6025167a680
15553e5c23d0ac
hex2a18635b17a8

46284234495912 has 128 divisors (see below), whose sum is σ = 147630448819200. Its totient is φ = 13161393604800.

The previous prime is 46284234495899. The next prime is 46284234495971. The reversal of 46284234495912 is 21959443248264.

46284234495912 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 4 + 2 + 34 + 4 + 9 + 591 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46284234495912.

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, 72219514 + ... + 72857577.

It is an arithmetic number, because the mean of its divisors is an integer number (1153362881400).

Almost surely, 246284234495912 is an apocalyptic number.

46284234495912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46284234495912 is an abundant number, since it is smaller than the sum of its proper divisors (101346214323288).

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

46284234495912 is a wasteful number, since it uses less digits than its factorization.

46284234495912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145077324 (or 145077314 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

It can be divided in two parts, 462842344 and 95912, that added together give a square (462938256 = 215162).

The spelling of 46284234495912 in words is "forty-six trillion, two hundred eighty-four billion, two hundred thirty-four million, four hundred ninety-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 211 216 252 378 422 504 633 756 844 1266 1477 1512 1688 1899 2532 2954 3798 4431 5064 5697 5908 7596 8862 11394 11816 13293 15192 17724 22788 26586 35448 39879 45576 53172 79758 106344 159516 319032 145077091 290154182 435231273 580308364 870462546 1015539637 1160616728 1305693819 1740925092 2031079274 2611387638 3046618911 3481850184 3917081457 4062158548 5222775276 6093237822 7834162914 8124317096 9139856733 10445550552 12186475644 15668325828 18279713466 24372951288 27419570199 30611266201 31336651656 36559426932 54839140398 61222532402 73118853864 91833798603 109678280796 122445064804 183667597206 214278863407 219356561592 244890129608 275501395809 367335194412 428557726814 551002791618 642836590221 734670388824 826504187427 857115453628 1102005583236 1285673180442 1653008374854 1714230907256 1928509770663 2204011166472 2571346360884 3306016749708 3857019541326 5142692721768 5785529311989 6612033499416 7714039082652 11571058623978 15428078165304 23142117247956 46284234495912