Search a number
-
+
46072225100 = 22521143579613
BaseRepresentation
bin101010111010000111…
…100101110101001100
311101220212000112101102
4222322013211311030
51223323442200400
633055411402232
73220466310656
oct527207456514
9141825015342
1046072225100
11185a262a6a0
128b195b3378
1344630b8875
142330c1b6d6
1512e9b399d5
hexaba1e5d4c

46072225100 has 72 divisors (see below), whose sum is σ = 109101902448. Its totient is φ = 16747948800.

The previous prime is 46072225097. The next prime is 46072225159. The reversal of 46072225100 is 152227064.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4787894 + ... + 4797506.

Almost surely, 246072225100 is an apocalyptic number.

It is an amenable number.

46072225100 is an abundant number, since it is smaller than the sum of its proper divisors (63029677348).

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

46072225100 is a wasteful number, since it uses less digits than its factorization.

46072225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13995 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

It can be divided in two parts, 46072 and 225100, that added together give a palindrome (271172).

The spelling of 46072225100 in words is "forty-six billion, seventy-two million, two hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 4357 8714 9613 17428 19226 21785 38452 43570 47927 48065 87140 95854 96130 105743 108925 191708 192260 211486 217850 239635 240325 422972 435700 479270 480650 528715 958540 961300 1057430 1198175 2114860 2396350 2643575 4792700 5287150 10574300 41883841 83767682 167535364 209419205 418838410 460722251 837676820 921444502 1047096025 1842889004 2094192050 2303611255 4188384100 4607222510 9214445020 11518056275 23036112550 46072225100