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138601777552 = 2477164327107
BaseRepresentation
bin1000000100010101001…
…1110100100110010000
3111020202101200211010121
42001011103310212100
54232324023340202
6143401153040024
713004452446010
oct2010523644620
9436671624117
10138601777552
11538650a99a7
1222a41556014
13100bacb6634
1469cba5dc40
1539130cd537
hex20454f4990

138601777552 has 80 divisors (see below), whose sum is σ = 311722048512. Its totient is φ = 58470894720.

The previous prime is 138601777513. The next prime is 138601777583. The reversal of 138601777552 is 255777106831.

It is a super-2 number, since 2×1386017775522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138601777552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099583 + ... + 5126689.

Almost surely, 2138601777552 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 138601777552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155861024256).

138601777552 is an abundant number, since it is smaller than the sum of its proper divisors (173120270960).

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

138601777552 is a wasteful number, since it uses less digits than its factorization.

138601777552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27836 (or 27830 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 138601777552 in words is "one hundred thirty-eight billion, six hundred one million, seven hundred seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 643 994 1136 1286 1988 2572 3976 4501 5144 7952 9002 10288 18004 27107 36008 45653 54214 72016 91306 108428 182612 189749 216856 319571 365224 379498 433712 639142 730448 758996 1278284 1517992 1924597 2556568 3035984 3849194 5113136 7698388 13472179 15396776 17429801 26944358 30793552 34859602 53888716 69719204 107777432 122008607 139438408 215554864 244017214 278876816 488034428 976068856 1237515871 1952137712 2475031742 4950063484 8662611097 9900126968 17325222194 19800253936 34650444388 69300888776 138601777552