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5485133952 = 273213073643
BaseRepresentation
bin1010001101111000…
…01000000010000000
3112011021020200020100
411012330020002000
542213143241302
62304141242400
7252632604114
oct50674100200
915137220210
105485133952
112365240361
121090b63400
1369550a2bc
143a06a7744
15221834d1c
hex146f08080

5485133952 has 96 divisors (see below), whose sum is σ = 15800456880. Its totient is φ = 1826477568.

The previous prime is 5485133917. The next prime is 5485133977. The reversal of 5485133952 is 2593315845.

5485133952 is a `hidden beast` number, since 5 + 48 + 513 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5485133898 and 5485133907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503843 + ... + 1507485.

Almost surely, 25485133952 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 5485133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900228440).

5485133952 is an abundant number, since it is smaller than the sum of its proper divisors (10315322928).

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

5485133952 is a wasteful number, since it uses less digits than its factorization.

5485133952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4955 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 5485133952 is about 74061.6901778511. The cubic root of 5485133952 is about 1763.5823590545.

The spelling of 5485133952 in words is "five billion, four hundred eighty-five million, one hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1307 2614 3643 3921 5228 7286 7842 10456 10929 11763 14572 15684 20912 21858 23526 29144 31368 32787 41824 43716 47052 58288 62736 65574 83648 87432 94104 116576 125472 131148 167296 174864 188208 233152 250944 262296 349728 376416 466304 501888 524592 699456 752832 1049184 1398912 1505664 2098368 4196736 4761401 9522802 14284203 19045604 28568406 38091208 42852609 57136812 76182416 85705218 114273624 152364832 171410436 228547248 304729664 342820872 457094496 609459328 685641744 914188992 1371283488 1828377984 2742566976 5485133952