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54102411432 = 23333728124091
BaseRepresentation
bin110010011000110000…
…010100100010101000
312011122111020021011000
4302120300110202220
51341300204131212
640504310235000
73623464623636
oct623060244250
9164574207130
1054102411432
1120a43445523
12a59a955a60
13514296a704
142893502356
151619ae91dc
hexc98c148a8

54102411432 has 128 divisors (see below), whose sum is σ = 154901923200. Its totient is φ = 17483558400.

The previous prime is 54102411427. The next prime is 54102411487. The reversal of 54102411432 is 23411420145.

54102411432 is a `hidden beast` number, since 5 + 410 + 241 + 1 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54102411396 and 54102411405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2233707 + ... + 2257797.

It is an arithmetic number, because the mean of its divisors is an integer number (1210171275).

Almost surely, 254102411432 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 54102411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77450961600).

54102411432 is an abundant number, since it is smaller than the sum of its proper divisors (100799511768).

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

54102411432 is a wasteful number, since it uses less digits than its factorization.

54102411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24424 (or 24414 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 54102411432 its reverse (23411420145), we get a palindrome (77513831577).

The spelling of 54102411432 in words is "fifty-four billion, one hundred two million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 281 296 333 444 562 666 843 888 999 1124 1332 1686 1998 2248 2529 2664 3372 3996 5058 6744 7587 7992 10116 10397 15174 20232 20794 24091 30348 31191 41588 48182 60696 62382 72273 83176 93573 96364 124764 144546 187146 192728 216819 249528 280719 289092 374292 433638 561438 578184 650457 748584 867276 891367 1122876 1300914 1734552 1782734 2245752 2601828 2674101 3565468 5203656 5348202 6769571 7130936 8022303 10696404 13539142 16044606 20308713 21392808 24066909 27078284 32089212 40617426 48133818 54156568 60926139 64178424 81234852 96267636 121852278 162469704 182778417 192535272 243704556 250474127 365556834 487409112 500948254 731113668 751422381 1001896508 1462227336 1502844762 2003793016 2254267143 3005689524 4508534286 6011379048 6762801429 9017068572 13525602858 18034137144 27051205716 54102411432