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47230746801056 = 257131071516171627
BaseRepresentation
bin10101011110100110000111…
…11000101011001110100000
320012020012210221201000000122
422233103003320223032200
522142312032140113211
6244241301110335412
712643210635543320
oct1257230370531640
9205205727630018
1047230746801056
111405a4a12a22a5
12536977565a568
132047ac0221a60
14b93da20b9280
1556d8a7d336db
hex2af4c3e2b3a0

47230746801056 has 384 divisors, whose sum is σ = 116538330230784. Its totient is φ = 18346399948800.

The previous prime is 47230746801053. The next prime is 47230746801059. The reversal of 47230746801056 is 65010864703274.

47230746801056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47230746801053) and next prime (47230746801059).

It is a junction number, because it is equal to n+sod(n) for n = 47230746800989 and 47230746801007.

It is not an unprimeable number, because it can be changed into a prime (47230746801053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29029345715 + ... + 29029347341.

It is an arithmetic number, because the mean of its divisors is an integer number (303485234976).

Almost surely, 247230746801056 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 47230746801056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58269165115392).

47230746801056 is an abundant number, since it is smaller than the sum of its proper divisors (69307583429728).

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

47230746801056 is a wasteful number, since it uses less digits than its factorization.

47230746801056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 47230746801056 in words is "forty-seven trillion, two hundred thirty billion, seven hundred forty-six million, eight hundred one thousand, fifty-six".