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5137351992 = 2333173145131
BaseRepresentation
bin1001100100011010…
…11100010100111000
3111021000211112002000
410302031130110320
541010130230432
62205435141000
7241210525413
oct46215342470
914230745060
105137351992
1121a69a0653
12bb45a4760
1363b44c866
1436a416b7a
1520103857c
hex13235c538

5137351992 has 128 divisors (see below), whose sum is σ = 15597619200. Its totient is φ = 1559692800.

The previous prime is 5137351949. The next prime is 5137351997. The reversal of 5137351992 is 2991537315.

5137351992 is a `hidden beast` number, since 513 + 7 + 35 + 19 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137351997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91267 + ... + 136397.

It is an arithmetic number, because the mean of its divisors is an integer number (121856400).

Almost surely, 25137351992 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 5137351992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798809600).

5137351992 is an abundant number, since it is smaller than the sum of its proper divisors (10460267208).

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

5137351992 is a wasteful number, since it uses less digits than its factorization.

5137351992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45194 (or 45184 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 5137351992 is about 71675.3234523570. The cubic root of 5137351992 is about 1725.4926260320.

The spelling of 5137351992 in words is "five billion, one hundred thirty-seven million, three hundred fifty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 93 102 108 124 136 153 186 204 216 248 279 306 372 408 459 527 558 612 744 837 918 1054 1116 1224 1581 1674 1836 2108 2232 3162 3348 3672 4216 4743 6324 6696 9486 12648 14229 18972 28458 37944 45131 56916 90262 113832 135393 180524 270786 361048 406179 541572 767227 812358 1083144 1218537 1399061 1534454 1624716 2301681 2437074 2798122 3068908 3249432 4197183 4603362 4874148 5596244 6137816 6905043 8394366 9206724 9748296 11192488 12591549 13810086 16788732 18413448 20715129 23784037 25183098 27620172 33577464 37774647 41430258 47568074 50366196 55240344 71352111 75549294 82860516 95136148 100732392 142704222 151098588 165721032 190272296 214056333 285408444 302197176 428112666 570816888 642168999 856225332 1284337998 1712450664 2568675996 5137351992