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79382541312 = 2103213276491
BaseRepresentation
bin100100111101110010…
…0010111010000000000
321120220022020220220200
41021323210113100000
52300033412310222
6100245015205200
75510113316334
oct1117344272000
9246808226820
1079382541312
1130736414248
1213475076800
137641235749
143bb0b697c4
1520e91a2eac
hex127b917400

79382541312 has 132 divisors (see below), whose sum is σ = 229423436736. Its totient is φ = 26436833280.

The previous prime is 79382541229. The next prime is 79382541331. The reversal of 79382541312 is 21314528397.

It is a happy number.

79382541312 is a `hidden beast` number, since 7 + 93 + 8 + 2 + 541 + 3 + 12 = 666.

It is a congruent number.

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, 12226387 + ... + 12232877.

Almost surely, 279382541312 is an apocalyptic number.

79382541312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79382541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114711718368).

79382541312 is an abundant number, since it is smaller than the sum of its proper divisors (150040895424).

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

79382541312 is a wasteful number, since it uses less digits than its factorization.

79382541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7823 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 79382541312 in words is "seventy-nine billion, three hundred eighty-two million, five hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1327 1536 2304 2654 3072 3981 4608 5308 6491 7962 9216 10616 11943 12982 15924 19473 21232 23886 25964 31848 38946 42464 47772 51928 58419 63696 77892 84928 95544 103856 116838 127392 155784 169856 191088 207712 233676 254784 311568 339712 382176 415424 467352 509568 623136 679424 764352 830848 934704 1019136 1246272 1358848 1528704 1661696 1869408 2038272 2492544 3057408 3323392 3738816 4076544 4985088 6114816 6646784 7477632 8613557 9970176 12229632 14955264 17227114 19940352 25840671 29910528 34454228 51681342 59821056 68908456 77522013 103362684 137816912 155044026 206725368 275633824 310088052 413450736 551267648 620176104 826901472 1102535296 1240352208 1653802944 2205070592 2480704416 3307605888 4410141184 4961408832 6615211776 8820282368 9922817664 13230423552 19845635328 26460847104 39691270656 79382541312