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54106142640 = 24351131661121
BaseRepresentation
bin110010011000111110…
…100011011110110000
312011122202020211101220
4302120332203132300
51341302133031030
640504522225040
73623541424044
oct623076433660
9164582224356
1054106142640
1120a45563870
12a5a0055180
135143675b24
142893bd4024
15161a0d4a10
hexc98fa37b0

54106142640 has 160 divisors (see below), whose sum is σ = 188879910912. Its totient is φ = 12693504000.

The previous prime is 54106142639. The next prime is 54106142647. The reversal of 54106142640 is 4624160145.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (54106142647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248721 + ... + 412400.

Almost surely, 254106142640 is an apocalyptic number.

It is an amenable number.

54106142640 is an abundant number, since it is smaller than the sum of its proper divisors (134773768272).

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

54106142640 is a wasteful number, since it uses less digits than its factorization.

54106142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661179 (or 661173 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 54106142640 in words is "fifty-four billion, one hundred six million, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 81840 661121 1322242 1983363 2644484 3305605 3966726 5288968 6611210 7272331 7933452 9916815 10577936 13222420 14544662 15866904 19833630 20494751 21816993 26444840 29089324 31733808 36361655 39667260 40989502 43633986 52889680 58178648 61484253 72723310 79334520 81979004 87267972 102473755 109084965 116357296 122968506 145446620 158669040 163958008 174535944 204947510 218169930 225442261 245937012 290893240 307421265 327916016 349071888 409895020 436339860 450884522 491874024 581786480 614842530 676326783 819790040 872679720 901769044 983748048 1127211305 1229685060 1352653566 1639580080 1745359440 1803538088 2254422610 2459370120 2705307132 3381633915 3607076176 4508845220 4918740240 5410614264 6763267830 9017690440 10821228528 13526535660 18035380880 27053071320 54106142640