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25013210432 = 267263212293
BaseRepresentation
bin10111010010111001…
…110100110101000000
32101120012202202010012
4113102321310311000
5402211340213212
615254011524052
71543564531520
oct272271646500
971505682105
1025013210432
11a67633a241
124a20a59628
1324881b0442
1412d4025680
159b5e31922
hex5d2e74d40

25013210432 has 56 divisors (see below), whose sum is σ = 56942345856. Its totient is φ = 10679136768.

The previous prime is 25013210377. The next prime is 25013210441. The reversal of 25013210432 is 23401231052.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×250132104322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25013210398 and 25013210407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11678 + ... + 223970.

Almost surely, 225013210432 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 25013210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28471172928).

25013210432 is an abundant number, since it is smaller than the sum of its proper divisors (31929135424).

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

25013210432 is a wasteful number, since it uses less digits than its factorization.

25013210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212575 (or 212565 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 25013210432 its reverse (23401231052), we get a palindrome (48414441484).

The spelling of 25013210432 in words is "twenty-five billion, thirteen million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 263 448 526 1052 1841 2104 3682 4208 7364 8416 14728 16832 29456 58912 117824 212293 424586 849172 1486051 1698344 2972102 3396688 5944204 6793376 11888408 13586752 23776816 47553632 55833059 95107264 111666118 223332236 390831413 446664472 781662826 893328944 1563325652 1786657888 3126651304 3573315776 6253302608 12506605216 25013210432