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1052801106948 = 2232222591313827
BaseRepresentation
bin11110101000111111101…
…01100000010000000100
310201122110112000120110200
433110133311200100010
5114222114040410243
62123352233250500
7136030251520233
oct17243765402004
93648415016420
101052801106948
11376543862068
12150058b63a30
13783814625a6
1438d54ba8b1a
151c5bbeb3ad3
hexf51fd60404

1052801106948 has 36 divisors (see below), whose sum is σ = 2661368826480. Its totient is φ = 350917669296.

The previous prime is 1052801106947. The next prime is 1052801106949. The reversal of 1052801106948 is 8496011082501.

It is a happy number.

1052801106948 is a `hidden beast` number, since 1 + 0 + 528 + 0 + 110 + 6 + 9 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1052801106947) and next prime (1052801106949).

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

It is a super-2 number, since 2×10528011069482 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052801106947) 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, 144411 + ... + 1458237.

Almost surely, 21052801106948 is an apocalyptic number.

1052801106948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1052801106948 is an abundant number, since it is smaller than the sum of its proper divisors (1608567719532).

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

1052801106948 is a wasteful number, since it uses less digits than its factorization.

1052801106948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336096 (or 1336091 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1052801106948 in words is "one trillion, fifty-two billion, eight hundred one million, one hundred six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 22259 44518 66777 89036 133554 200331 267108 400662 801324 1313827 2627654 3941481 5255308 7882962 11824443 15765924 23648886 47297772 29244475193 58488950386 87733425579 116977900772 175466851158 263200276737 350933702316 526400553474 1052801106948