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10934822137932 = 22347311219127337
BaseRepresentation
bin1001111100011111011000…
…1100000111000001001100
31102201100200120000020010000
42133013312030013001030
52413124003431403212
635131215443444300
72206005041406000
oct237076614070114
942640616006100
1010934822137932
113536483032500
1212872a9986690
136141c3032574
1429b369162700
1513e68e5ba1dc
hex9f1f630704c

10934822137932 has 1440 divisors, whose sum is σ = 38989862912000. Its totient is φ = 2661620290560.

The previous prime is 10934822137859. The next prime is 10934822137957. The reversal of 10934822137932 is 23973122843901.

10934822137932 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 48 + 221 + 379 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32447543268 + ... + 32447543604.

Almost surely, 210934822137932 is an apocalyptic number.

10934822137932 is a gapful number since it is divisible by the number (12) 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 10934822137932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494931456000).

10934822137932 is an abundant number, since it is smaller than the sum of its proper divisors (28055040774068).

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

10934822137932 is a wasteful number, since it uses less digits than its factorization.

10934822137932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 10934822137932 in words is "ten trillion, nine hundred thirty-four billion, eight hundred twenty-two million, one hundred thirty-seven thousand, nine hundred thirty-two".