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55679144948 = 22743611136709
BaseRepresentation
bin110011110110101111…
…000101001111110100
312022201101010121220122
4303312233011033310
51403012330114243
641324553151112
74010531631440
oct636657051764
9168641117818
1055679144948
1121682475779
12a95a9bb498
13533451831b
1429a2a9b820
1516ad24e668
hexcf6bc53f4

55679144948 has 96 divisors (see below), whose sum is σ = 116858353920. Its totient is φ = 22719191040.

The previous prime is 55679144933. The next prime is 55679144953. The reversal of 55679144948 is 84944197655.

It is a congruent number.

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, 8295818 + ... + 8302526.

It is an arithmetic number, because the mean of its divisors is an integer number (1217274520).

Almost surely, 255679144948 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 55679144948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58429176960).

55679144948 is an abundant number, since it is smaller than the sum of its proper divisors (61179208972).

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

55679144948 is a wasteful number, since it uses less digits than its factorization.

55679144948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6935 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 62.

The spelling of 55679144948 in words is "fifty-five billion, six hundred seventy-nine million, one hundred forty-four thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 43 61 86 113 122 172 226 244 301 427 452 602 791 854 1204 1582 1708 2623 3164 4859 5246 6709 6893 9718 10492 13418 13786 18361 19436 26836 27572 34013 36722 46963 48251 68026 73444 93926 96502 136052 187852 193004 288487 296399 409249 576974 592798 758117 818498 1153948 1185596 1516234 1636996 2019409 2074793 2864743 3032468 4038818 4149586 5306819 5729486 8077636 8299172 10613638 11458972 17597707 21227276 32599031 35195414 46245137 65198062 70390828 92490274 123183949 130396124 184980548 228193217 246367898 323715959 456386434 492735796 647431918 912772868 1294863836 1988540891 3977081782 7954163564 13919786237 27839572474 55679144948