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51403545200 = 2452757731817
BaseRepresentation
bin101111110111111000…
…111101101001110000
311220200101211122200102
4233313320331221300
51320233301421300
635340420211532
73466553632160
oct576770755160
9156611748612
1051403545200
111a888a63367
129b66b39ba8
134b02790047
1426b8cc65a0
15150cbda0d5
hexbf7e3da70

51403545200 has 120 divisors (see below), whose sum is σ = 141388501152. Its totient is φ = 17592975360.

The previous prime is 51403545191. The next prime is 51403545229. The reversal of 51403545200 is 254530415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599692 + ... + 1631508.

Almost surely, 251403545200 is an apocalyptic number.

51403545200 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 51403545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70694250576).

51403545200 is an abundant number, since it is smaller than the sum of its proper divisors (89984955952).

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

51403545200 is a wasteful number, since it uses less digits than its factorization.

51403545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32419 (or 32408 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 51403545200 in words is "fifty-one billion, four hundred three million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 577 700 1154 1400 2308 2800 2885 4039 4616 5770 8078 9232 11540 14425 16156 20195 23080 28850 31817 32312 40390 46160 57700 63634 64624 80780 100975 115400 127268 159085 161560 201950 222719 230800 254536 318170 323120 403900 445438 509072 636340 795425 807800 890876 1113595 1272680 1590850 1615600 1781752 2227190 2545360 3181700 3563504 4454380 5567975 6363400 8908760 11135950 12726800 17817520 18358409 22271900 36716818 44543800 73433636 89087600 91792045 128508863 146867272 183584090 257017726 293734544 367168180 458960225 514035452 642544315 734336360 917920450 1028070904 1285088630 1468672720 1835840900 2056141808 2570177260 3212721575 3671681800 5140354520 6425443150 7343363600 10280709040 12850886300 25701772600 51403545200