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54635033140 = 225192910874561
BaseRepresentation
bin110010111000100000…
…000111001000110100
312020000121110020202221
4302320200013020310
51343343032030030
641033214212124
73642623055622
oct627040071064
9166017406687
1054635033140
1121197063056
12a7091b4044
1351c9104b9c
14290414a512
15164b757e7a
hexcb8807234

54635033140 has 96 divisors (see below), whose sum is σ = 125079091200. Its totient is φ = 19967109120.

The previous prime is 54635033119. The next prime is 54635033147. The reversal of 54635033140 is 4133053645.

It is a junction number, because it is equal to n+sod(n) for n = 54635033096 and 54635033105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54635033147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11976460 + ... + 11981020.

It is an arithmetic number, because the mean of its divisors is an integer number (1302907200).

Almost surely, 254635033140 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 54635033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62539545600).

54635033140 is an abundant number, since it is smaller than the sum of its proper divisors (70444058060).

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

54635033140 is a wasteful number, since it uses less digits than its factorization.

54635033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 54635033140 its reverse (4133053645), we get a palindrome (58768086785).

The spelling of 54635033140 in words is "fifty-four billion, six hundred thirty-five million, thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1087 1102 2174 2204 2755 4348 4561 5435 5510 9122 10870 11020 18244 20653 21740 22805 31523 41306 45610 63046 82612 86659 91220 103265 126092 132269 157615 173318 206530 264538 315230 346636 413060 433295 529076 598937 630460 661345 866590 1197874 1322690 1733180 2395748 2513111 2645380 2994685 4957807 5026222 5989370 9915614 10052444 11978740 12565555 19831228 24789035 25131110 49578070 50262220 94198333 99156140 143776403 188396666 287552806 376793332 470991665 575105612 718882015 941983330 1437764030 1883966660 2731751657 2875528060 5463503314 10927006628 13658758285 27317516570 54635033140