Search a number
-
+
137438953476 = 223114328186171
BaseRepresentation
bin1000000000000000000…
…0000000000000000100
3111010202100122020101020
42000000000000000010
54222433333002401
6143045533431140
712633602554236
oct2000000000004
9433670566336
10137438953476
1153318784a70
122277803b4b0
13cc6410a456
14691b44a256
153895e87d36
hex2000000004

137438953476 has 96 divisors (see below), whose sum is σ = 359258651136. Its totient is φ = 40534368000.

The previous prime is 137438953447. The next prime is 137438953481. The reversal of 137438953476 is 674359834731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551871 + ... + 1638041.

It is an arithmetic number, because the mean of its divisors is an integer number (3742277616).

Almost surely, 2137438953476 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 137438953476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179629325568).

137438953476 is an abundant number, since it is smaller than the sum of its proper divisors (221819697660).

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

137438953476 is a wasteful number, since it uses less digits than its factorization.

137438953476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86513 (or 86511 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 60.

The spelling of 137438953476 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 281 473 516 562 843 946 1124 1419 1686 1892 2838 3091 3372 5676 6182 9273 12083 12364 18546 24166 36249 37092 48332 72498 86171 132913 144996 172342 258513 265826 344684 398739 517026 531652 797478 947881 1034052 1594956 1895762 2843643 3705353 3791524 5687286 7410706 11116059 11374572 14821412 22232118 24214051 40758883 44464236 48428102 72642153 81517766 96856204 122276649 145284306 163035532 244553298 266354561 290568612 489106596 532709122 799063683 1041204193 1065418244 1598127366 2082408386 3123612579 3196254732 4164816772 6247225158 11453246123 12494450316 22906492246 34359738369 45812984492 68719476738 137438953476