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54132551040 = 273537762001
BaseRepresentation
bin110010011010100011…
…010010110110000000
312011201120221111220210
4302122203102312000
51341330413113130
640511304234120
73624312043341
oct623243226600
9164646844823
1054132551040
1120a59460897
12a5a8a6b940
135148c910b9
14289750a0c8
15161c59e5b0
hexc9a8d2d80

54132551040 has 128 divisors (see below), whose sum is σ = 177211185120. Its totient is φ = 14045184000.

The previous prime is 54132551029. The next prime is 54132551047. The reversal of 54132551040 is 4015523145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54132550989 and 54132551007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54132551047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309961 + ... + 452040.

Almost surely, 254132551040 is an apocalyptic number.

It is an amenable number.

54132551040 is an abundant number, since it is smaller than the sum of its proper divisors (123078634080).

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

54132551040 is a wasteful number, since it uses less digits than its factorization.

54132551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762060 (or 762048 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 54132551040 in words is "fifty-four billion, one hundred thirty-two million, five hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 5920 7104 8880 11840 14208 17760 23680 35520 71040 762001 1524002 2286003 3048004 3810005 4572006 6096008 7620010 9144012 11430015 12192016 15240020 18288024 22860030 24384032 28194037 30480040 36576048 45720060 48768064 56388074 60960080 73152096 84582111 91440120 97536128 112776148 121920160 140970185 146304192 169164222 182880240 225552296 243840320 281940370 292608384 338328444 365760480 422910555 451104592 487680640 563880740 676656888 731520960 845821110 902209184 1127761480 1353313776 1463041920 1691642220 1804418368 2255522960 2706627552 3383284440 3608836736 4511045920 5413255104 6766568880 9022091840 10826510208 13533137760 18044183680 27066275520 54132551040