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51146413800 = 23352611397443
BaseRepresentation
bin101111101000100100…
…000101011011101000
311220000111000000201020
4233220210011123220
51314221440220200
635255113052440
73460312226016
oct575044053350
9156014000636
1051146413800
111a7668a9779
129ab49b7120
134a914216a1
142692ab18b6
1514e5347ea0
hexbe89056e8

51146413800 has 96 divisors (see below), whose sum is σ = 161153242080. Its totient is φ = 13415443200.

The previous prime is 51146413793. The next prime is 51146413807. The reversal of 51146413800 is 831464115.

It is an interprime number because it is at equal distance from previous prime (51146413793) and next prime (51146413807).

It is not an unprimeable number, because it can be changed into a prime (51146413807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662122 + ... + 735321.

It is an arithmetic number, because the mean of its divisors is an integer number (1678679605).

Almost surely, 251146413800 is an apocalyptic number.

51146413800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51146413800 is an abundant number, since it is smaller than the sum of its proper divisors (110006828280).

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

51146413800 is a wasteful number, since it uses less digits than its factorization.

51146413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397523 (or 1397514 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 51146413800 its reverse (831464115), we get a palindrome (51977877915).

The spelling of 51146413800 in words is "fifty-one billion, one hundred forty-six million, four hundred thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3660 4575 6100 7320 9150 12200 18300 36600 1397443 2794886 4192329 5589772 6987215 8384658 11179544 13974430 16769316 20961645 27948860 33538632 34936075 41923290 55897720 69872150 83846580 85244023 104808225 139744300 167693160 170488046 209616450 255732069 279488600 340976092 419232900 426220115 511464138 681952184 838465800 852440230 1022928276 1278660345 1704880460 2045856552 2131100575 2557320690 3409760920 4262201150 5114641380 6393301725 8524402300 10229282760 12786603450 17048804600 25573206900 51146413800