Search a number
-
+
139567162150900 = 22521117106111096343
BaseRepresentation
bin11111101110111110000011…
…000111110100111111110100
3200022011111020111110121010001
4133232332003013310333310
5121243132022002312100
61212500134045441044
741253252246211501
oct3756760307647764
9608144214417101
10139567162150900
114051a112586890
12137a1074270184
135cb5185aba523
14266712dc464a8
1511206deca4d6a
hex7eef831f4ff4

139567162150900 has 288 divisors, whose sum is σ = 350529162197760. Its totient is φ = 47670733824000.

The previous prime is 139567162150873. The next prime is 139567162150981. The reversal of 139567162150900 is 9051261765931.

It is a super-2 number, since 2×1395671621509002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22003333129 + ... + 22003339471.

It is an arithmetic number, because the mean of its divisors is an integer number (1217115146520).

Almost surely, 2139567162150900 is an apocalyptic number.

139567162150900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139567162150900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175264581098880).

139567162150900 is an abundant number, since it is smaller than the sum of its proper divisors (210962000046860).

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

139567162150900 is a wasteful number, since it uses less digits than its factorization.

139567162150900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 55.

The spelling of 139567162150900 in words is "one hundred thirty-nine trillion, five hundred sixty-seven billion, one hundred sixty-two million, one hundred fifty thousand, nine hundred".