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5267425152 = 273116120443
BaseRepresentation
bin1001110011111011…
…01000011110000000
3111121002120220220110
410321331220132000
541241430101102
62230403111320
7244350242433
oct47175503600
914532526813
105267425152
112263362530
121030072540
1365c392722
1437d7d581a
1520c67d86c
hex139f68780

5267425152 has 128 divisors (see below), whose sum is σ = 15514542720. Its totient is φ = 1569945600.

The previous prime is 5267425147. The next prime is 5267425169. The reversal of 5267425152 is 2515247625.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×52674251523 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5267425152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247443 + ... + 267885.

It is an arithmetic number, because the mean of its divisors is an integer number (121207365).

Almost surely, 25267425152 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 5267425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757271360).

5267425152 is an abundant number, since it is smaller than the sum of its proper divisors (10247117568).

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

5267425152 is a wasteful number, since it uses less digits than its factorization.

5267425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20532 (or 20520 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The square root of 5267425152 is about 72577.0290932331. The cubic root of 5267425152 is about 1739.9340654101.

The spelling of 5267425152 in words is "five billion, two hundred sixty-seven million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 264 352 366 384 488 528 671 704 732 976 1056 1342 1408 1464 1952 2013 2112 2684 2928 3904 4026 4224 5368 5856 7808 8052 10736 11712 16104 20443 21472 23424 32208 40886 42944 61329 64416 81772 85888 122658 128832 163544 224873 245316 257664 327088 449746 490632 654176 674619 899492 981264 1247023 1308352 1349238 1798984 1962528 2494046 2616704 2698476 3597968 3741069 3925056 4988092 5396952 7195936 7482138 7850112 9976184 10793904 13717253 14391872 14964276 19952368 21587808 27434506 28783744 29928552 39904736 41151759 43175616 54869012 59857104 79809472 82303518 86351232 109738024 119714208 159618944 164607036 219476048 239428416 329214072 438952096 478856832 658428144 877904192 1316856288 1755808384 2633712576 5267425152