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23139277456 = 2417222372
BaseRepresentation
bin10101100011001101…
…010101101010010000
32012201121122002100011
4111203031111222100
5334342123334311
614344031004304
71446261420211
oct254315255220
965647562304
1023139277456
1198a45786a9
124599369694
132249ba5669
1411971c5408
15906672321
hex563355a90

23139277456 has 45 divisors (see below), whose sum is σ = 47645975419. Its totient is φ = 10884204032.

The previous prime is 23139277387. The next prime is 23139277463. The reversal of 23139277456 is 65477293132.

The square root of 23139277456 is 152116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7624083856 + 15515193600 = 87316^2 + 124560^2 .

It is a super-2 number, since 2×231392774562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10342770 + ... + 10345006.

Almost surely, 223139277456 is an apocalyptic number.

23139277456 is the 152116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23139277456

23139277456 is an abundant number, since it is smaller than the sum of its proper divisors (24506697963).

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

23139277456 is an frugal number, since it uses more digits than its factorization.

23139277456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 2256 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 49.

Multiplying 23139277456 by its sum of digits (49), we get a square (1133824595344 = 10648122).

The spelling of 23139277456 in words is "twenty-three billion, one hundred thirty-nine million, two hundred seventy-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2237 2312 4474 4624 8948 17896 35792 38029 76058 152116 304232 608464 646493 1292986 2585972 5004169 5171944 10008338 10343888 20016676 40033352 80066704 85070873 170141746 340283492 680566984 1361133968 1446204841 2892409682 5784819364 11569638728 23139277456