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25448340468 = 22317792396607
BaseRepresentation
bin10111101100110101…
…101101101111110100
32102200112112122022110
4113230311231233310
5404104233343333
615405114131020
71560430216305
oct275465555764
972615478273
1025448340468
11a879a19941
124b22720a70
1325273a1a35
141335b327ac
159de234063
hex5ecd6dbf4

25448340468 has 96 divisors (see below), whose sum is σ = 63944294400. Its totient is φ = 7848562176.

The previous prime is 25448340461. The next prime is 25448340481. The reversal of 25448340468 is 86404384452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25448340461) 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 31 ways as a sum of consecutive naturals, for example, 3848421 + ... + 3855027.

It is an arithmetic number, because the mean of its divisors is an integer number (666086400).

Almost surely, 225448340468 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 25448340468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31972147200).

25448340468 is an abundant number, since it is smaller than the sum of its proper divisors (38495953932).

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

25448340468 is a wasteful number, since it uses less digits than its factorization.

25448340468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 25448340468 in words is "twenty-five billion, four hundred forty-eight million, three hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 239 316 474 478 717 948 956 1343 1434 2686 2868 4029 4063 5372 6607 8058 8126 12189 13214 16116 16252 18881 19821 24378 26428 37762 39642 48756 56643 75524 79284 112319 113286 224638 226572 320977 336957 449276 521953 641954 673914 962931 1043906 1283908 1347828 1565859 1579073 1925862 2087812 3131718 3158146 3851724 4737219 6263436 6316292 8873201 9474438 17746402 18948876 26619603 26844241 35492804 53239206 53688482 80532723 106478412 107376964 124746767 161065446 249493534 322130892 374240301 498987068 748480602 1496961204 2120695039 4241390078 6362085117 8482780156 12724170234 25448340468