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22525541504 = 271967138241
BaseRepresentation
bin10100111110101000…
…000111110010000000
32011010211210001212222
4110332220013302000
5332113014312004
614203104310212
71425126641444
oct247650076200
964124701788
1022525541504
11960a098804
124447912368
13217c9aa8ab
1411398a4824
158bc83e7be
hex53ea07c80

22525541504 has 64 divisors (see below), whose sum is σ = 47942325600. Its totient is φ = 10510663680.

The previous prime is 22525541497. The next prime is 22525541537. The reversal of 22525541504 is 40514552522.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93824 + ... + 232064.

Almost surely, 222525541504 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 22525541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23971162800).

22525541504 is an abundant number, since it is smaller than the sum of its proper divisors (25416784096).

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

22525541504 is a wasteful number, since it uses less digits than its factorization.

22525541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138341 (or 138329 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 22525541504 in words is "twenty-two billion, five hundred twenty-five million, five hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 268 304 536 608 1072 1216 1273 2144 2432 2546 4288 5092 8576 10184 20368 40736 81472 138241 162944 276482 552964 1105928 2211856 2626579 4423712 5253158 8847424 9262147 10506316 17694848 18524294 21012632 37048588 42025264 74097176 84050528 148194352 168101056 175980793 296388704 336202112 351961586 592777408 703923172 1185554816 1407846344 2815692688 5631385376 11262770752 22525541504