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61474145520 = 2435676775647
BaseRepresentation
bin111001010000001001…
…010000010011110000
312212200020110011020110
4321100021100103300
52001344340124040
644124004141320
74304246421024
oct712011202360
9185606404213
1061474145520
1124086609447
12bab7697840
135a48c99348
142d92586384
1518ebd91980
hexe502504f0

61474145520 has 160 divisors (see below), whose sum is σ = 193734171648. Its totient is φ = 16121723904.

The previous prime is 61474145501. The next prime is 61474145527. The reversal of 61474145520 is 2554147416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61474145527) by changing a digit.

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, 10883337 + ... + 10888983.

Almost surely, 261474145520 is an apocalyptic number.

61474145520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61474145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96867085824).

61474145520 is an abundant number, since it is smaller than the sum of its proper divisors (132260026128).

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

61474145520 is a wasteful number, since it uses less digits than its factorization.

61474145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 61474145520 in words is "sixty-one billion, four hundred seventy-four million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 677 804 1005 1072 1340 1354 1608 2010 2031 2680 2708 3216 3385 4020 4062 5360 5416 5647 6770 8040 8124 10155 10832 11294 13540 16080 16248 16941 20310 22588 27080 28235 32496 33882 40620 45176 45359 54160 56470 67764 81240 84705 90352 90718 112940 135528 136077 162480 169410 181436 225880 226795 271056 272154 338820 362872 378349 451760 453590 544308 677640 680385 725744 756698 907180 1088616 1135047 1355280 1360770 1513396 1814360 1891745 2177232 2270094 2721540 3026792 3628720 3783490 3823019 4540188 5443080 5675235 6053584 7566980 7646038 9080376 10886160 11350470 11469057 15133960 15292076 18160752 19115095 22700940 22938114 30267920 30584152 38230190 45401880 45876228 57345285 61168304 76460380 90803760 91752456 114690570 152920760 183504912 229381140 256142273 305841520 458762280 512284546 768426819 917524560 1024569092 1280711365 1536853638 2049138184 2561422730 3073707276 3842134095 4098276368 5122845460 6147414552 7684268190 10245690920 12294829104 15368536380 20491381840 30737072760 61474145520