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92144450200 = 23521143579613
BaseRepresentation
bin101010111010000111…
…1001011101010011000
322210211201001001202211
41111310033023222120
53002202434401300
6110155223204504
76441265621645
oct1256417135230
9283751031684
1092144450200
113609515a290
1215a36ba6734
1388c61a441a
144661a38dcc
1525e47744ba
hex15743cba98

92144450200 has 96 divisors (see below), whose sum is σ = 233789790960. Its totient is φ = 33495897600.

The previous prime is 92144450191. The next prime is 92144450201. The reversal of 92144450200 is 205444129.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92144450201) by changing a digit.

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, 9580594 + ... + 9590206.

Almost surely, 292144450200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92144450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116894895480).

92144450200 is an abundant number, since it is smaller than the sum of its proper divisors (141645340760).

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

92144450200 is a wasteful number, since it uses less digits than its factorization.

92144450200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13997 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 92144450200 its reverse (205444129), we get a palindrome (92349894329).

The spelling of 92144450200 in words is "ninety-two billion, one hundred forty-four million, four hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4357 8714 9613 17428 19226 21785 34856 38452 43570 47927 48065 76904 87140 95854 96130 105743 108925 174280 191708 192260 211486 217850 239635 240325 383416 384520 422972 435700 479270 480650 528715 845944 871400 958540 961300 1057430 1198175 1917080 1922600 2114860 2396350 2643575 4229720 4792700 5287150 9585400 10574300 21148600 41883841 83767682 167535364 209419205 335070728 418838410 460722251 837676820 921444502 1047096025 1675353640 1842889004 2094192050 2303611255 3685778008 4188384100 4607222510 8376768200 9214445020 11518056275 18428890040 23036112550 46072225100 92144450200