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126214656150 = 235211151587863
BaseRepresentation
bin111010110001011111…
…0101101000010010110
3110001210010010212001110
41311202332231002112
54031441422444100
6133552054035450
712055500606312
oct1654276550226
9401703125043
10126214656150
1149588979290
1220565048b86
13bb9589c3bb
146174870b42
15343a890250
hex1d62fad096

126214656150 has 192 divisors, whose sum is σ = 344713936896. Its totient is φ = 30307920000.

The previous prime is 126214656149. The next prime is 126214656187. The reversal of 126214656150 is 51656412621.

It is a junction number, because it is equal to n+sod(n) for n = 126214656099 and 126214656108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146250619 + ... + 146251481.

It is an arithmetic number, because the mean of its divisors is an integer number (1795385088).

Almost surely, 2126214656150 is an apocalyptic number.

126214656150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126214656150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172356968448).

126214656150 is an abundant number, since it is smaller than the sum of its proper divisors (218499280746).

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

126214656150 is a wasteful number, since it uses less digits than its factorization.

126214656150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 126214656150 in words is "one hundred twenty-six billion, two hundred fourteen million, six hundred fifty-six thousand, one hundred fifty".