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29127426948 = 22324571770449
BaseRepresentation
bin11011001000001000…
…010100001110000100
32210011221101121011200
4123020020110032010
5434123110130243
621214141502500
72050543021044
oct331010241604
983157347150
1029127426948
1111397744a84
12578a871a30
132992682499
1415a45cb724
15b57218ad3
hex6c8214384

29127426948 has 36 divisors (see below), whose sum is σ = 73788815100. Its totient is φ = 9687891456.

The previous prime is 29127426943. The next prime is 29127427019. The reversal of 29127426948 is 84962472192.

It is a happy number.

29127426948 is a `hidden beast` number, since 2 + 9 + 127 + 426 + 94 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19221604164 + 9905822784 = 138642^2 + 99528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×291274269482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29127426894 and 29127426903.

It is not an unprimeable number, because it can be changed into a prime (29127426943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868773 + ... + 901676.

Almost surely, 229127426948 is an apocalyptic number.

It is an amenable number.

29127426948 is an abundant number, since it is smaller than the sum of its proper divisors (44661388152).

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

29127426948 is a wasteful number, since it uses less digits than its factorization.

29127426948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770916 (or 1770911 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 29127426948 in words is "twenty-nine billion, one hundred twenty-seven million, four hundred twenty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 16452 1770449 3540898 5311347 7081796 10622694 15934041 21245388 31868082 63736164 809095193 1618190386 2427285579 3236380772 4854571158 7281856737 9709142316 14563713474 29127426948