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5379339735 = 3357112332221
BaseRepresentation
bin1010000001010001…
…00011010111010111
3111212220011202212000
411000220203113113
542004102332420
62245441530343
7250206430140
oct50050432727
914786152760
105379339735
112310551620
1210616439b3
13679618383
14390608ac7
152173d8690
hex140a235d7

5379339735 has 128 divisors (see below), whose sum is σ = 11979601920. Its totient is φ = 2224972800.

The previous prime is 5379339727. The next prime is 5379339787.

5379339735 is a `hidden beast` number, since 537 + 9 + 3 + 39 + 73 + 5 = 666.

5379339735 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5379339735 - 23 = 5379339727 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2420925 + ... + 2423145.

It is an arithmetic number, because the mean of its divisors is an integer number (93590640).

Almost surely, 25379339735 is an apocalyptic number.

5379339735 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5379339735 is an abundant number, since it is smaller than the sum of its proper divisors (6600262185).

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

5379339735 is a wasteful number, since it uses less digits than its factorization.

5379339735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2480 counting only the distinct ones).

The product of its digits is 8037225, while the sum is 54.

The square root of 5379339735 is about 73343.9822684861. The cubic root of 5379339735 is about 1752.1703396259.

It can be divided in two parts, 53793 and 39735, that added together give a triangular number (93528 = T432).

The spelling of 5379339735 in words is "five billion, three hundred seventy-nine million, three hundred thirty-nine thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 233 297 315 385 495 693 699 945 1155 1165 1485 1631 2079 2097 2221 2563 3465 3495 4893 6291 6663 7689 8155 10395 10485 11105 12815 14679 15547 17941 19989 23067 24431 24465 31455 33315 38445 44037 46641 53823 59967 69201 73293 73395 77735 89705 99945 115335 122155 139923 161469 171017 219879 220185 233205 269115 299835 346005 366465 419769 484407 513051 517493 659637 699615 807345 855085 1099395 1539153 1552479 2098845 2422035 2565255 2587465 3298185 3622451 4617459 4657437 5692423 7695765 7762395 10867353 13972311 17077269 18112255 23087295 23287185 28462115 32602059 39846961 51231807 54336765 69861555 85386345 97806177 119540883 153695421 163010295 199234805 256159035 358622649 489030885 597704415 768477105 1075867947 1793113245 5379339735