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54601969400 = 23521135370309
BaseRepresentation
bin110010110110100001…
…111110111011111000
312012221022020102211222
4302312201332323320
51343311101010100
641030033411212
73642042040106
oct626641767370
9165838212758
1054601969400
112117a42a850
12a6ba109b08
1351c22c9544
1428dd9c0c76
1516488c6485
hexcb687eef8

54601969400 has 96 divisors (see below), whose sum is σ = 138884749200. Its totient is φ = 19798732800.

The previous prime is 54601969349. The next prime is 54601969403. The reversal of 54601969400 is 496910645.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54601969403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741446 + ... + 811754.

Almost surely, 254601969400 is an apocalyptic number.

54601969400 is a gapful number since it is divisible by the number (50) 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 54601969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69442374600).

54601969400 is an abundant number, since it is smaller than the sum of its proper divisors (84282779800).

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

54601969400 is a wasteful number, since it uses less digits than its factorization.

54601969400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70689 (or 70680 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 54601969400 in words is "fifty-four billion, six hundred one million, nine hundred sixty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 353 440 550 706 1100 1412 1765 2200 2824 3530 3883 7060 7766 8825 14120 15532 17650 19415 31064 35300 38830 70309 70600 77660 97075 140618 155320 194150 281236 351545 388300 562472 703090 773399 776600 1406180 1546798 1757725 2812360 3093596 3515450 3866995 6187192 7030900 7733990 14061800 15467980 19334975 24819077 30935960 38669950 49638154 77339900 99276308 124095385 154679800 198552616 248190770 273009847 496381540 546019694 620476925 992763080 1092039388 1240953850 1365049235 2184078776 2481907700 2730098470 4963815400 5460196940 6825246175 10920393880 13650492350 27300984700 54601969400