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48392822466 = 23353157107699
BaseRepresentation
bin101101000100011011…
…111101111011000010
311121220120122002112000
4231010123331323002
51243102030304331
634121550044430
73332135126652
oct550433757302
9147816562460
1048392822466
111958353985a
1294667a9716
134742ac2cc1
1424b10cc362
1513d37290e6
hexb446fdec2

48392822466 has 64 divisors (see below), whose sum is σ = 110267568000. Its totient is φ = 15725631168.

The previous prime is 48392822449. The next prime is 48392822537. The reversal of 48392822466 is 66422829384.

48392822466 is a `hidden beast` number, since 4 + 8 + 392 + 8 + 2 + 246 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395485 + ... + 503183.

It is an arithmetic number, because the mean of its divisors is an integer number (1722930750).

Almost surely, 248392822466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48392822466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55133784000).

48392822466 is an abundant number, since it is smaller than the sum of its proper divisors (61874745534).

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

48392822466 is a wasteful number, since it uses less digits than its factorization.

48392822466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107920 (or 107914 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 48392822466 in words is "forty-eight billion, three hundred ninety-two million, eight hundred twenty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 157 159 314 318 471 477 942 954 1413 1431 2826 2862 4239 8321 8478 16642 24963 49926 74889 107699 149778 215398 224667 323097 449334 646194 969291 1938582 2907873 5708047 5815746 11416094 16908743 17124141 33817486 34248282 50726229 51372423 101452458 102744846 152178687 154117269 304357374 308234538 456536061 896163379 913072122 1792326758 2688490137 5376980274 8065470411 16130940822 24196411233 48392822466