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135082962432 = 2932112664989
BaseRepresentation
bin111110111001110010…
…0100110111000000000
3110220200011102111020200
41331303210212320000
54203122214244212
6142020052405200
712521324143545
oct1756344467000
9426604374220
10135082962432
11523198a1030
122221b016800
13c979c90002
1467765a4bcc
1537a92066dc
hex1f73926e00

135082962432 has 120 divisors (see below), whose sum is σ = 425300424120. Its totient is φ = 40934215680.

The previous prime is 135082962409. The next prime is 135082962461. The reversal of 135082962432 is 234269280531.

135082962432 is a `hidden beast` number, since 1 + 3 + 50 + 82 + 96 + 2 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281807 + ... + 1383182.

It is an arithmetic number, because the mean of its divisors is an integer number (3544170201).

Almost surely, 2135082962432 is an apocalyptic number.

135082962432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135082962432 is an abundant number, since it is smaller than the sum of its proper divisors (290217461688).

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

135082962432 is a wasteful number, since it uses less digits than its factorization.

135082962432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665024 (or 2665005 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 135082962432 in words is "one hundred thirty-five billion, eighty-two million, nine hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 2664989 5329978 7994967 10659956 15989934 21319912 23984901 29314879 31979868 42639824 47969802 58629758 63959736 85279648 87944637 95939604 117259516 127919472 170559296 175889274 191879208 234519032 255838944 263833911 341118592 351778548 383758416 469038064 511677888 527667822 682237184 703557096 767516832 938076128 1023355776 1055335644 1364474368 1407114192 1535033664 1876152256 2046711552 2110671288 2814228384 3070067328 3752304512 4093423104 4221342576 5628456768 6140134656 7504609024 8442685152 11256913536 12280269312 15009218048 16885370304 22513827072 33770740608 45027654144 67541481216 135082962432