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6945007104 = 29327215309
BaseRepresentation
bin1100111011111010…
…00110011000000000
3122221000020220201100
412131331012120000
5103210410211404
63105051334400
7334050405060
oct63575063000
918830226640
106945007104
112a443036a2
121419a51400
13868ac0079
1449c5233a0
152a9aa4d39
hex19df46600

6945007104 has 120 divisors (see below), whose sum is σ = 22907261520. Its totient is φ = 1984278528.

The previous prime is 6945007081. The next prime is 6945007133. The reversal of 6945007104 is 4017005496.

It is a super-2 number, since 2×69450071042 = 96466247349220933632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 75399 + ... + 139910.

It is an arithmetic number, because the mean of its divisors is an integer number (190893846).

Almost surely, 26945007104 is an apocalyptic number.

6945007104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6945007104 is an abundant number, since it is smaller than the sum of its proper divisors (15962254416).

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

6945007104 is a wasteful number, since it uses less digits than its factorization.

6945007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215340 (or 215321 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6945007104 is about 83336.7092222869. The cubic root of 6945007104 is about 1907.9085962832.

The spelling of 6945007104 in words is "six billion, nine hundred forty-five million, seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 215309 430618 645927 861236 1291854 1507163 1722472 1937781 2583708 3014326 3444944 3875562 4521489 5167416 6028652 6889888 7751124 9042978 10334832 12057304 13564467 13779776 15502248 18085956 20669664 24114608 27128934 27559552 31004496 36171912 41339328 48229216 54257868 55119104 62008992 72343824 82678656 96458432 108515736 110238208 124017984 144687648 165357312 192916864 217031472 248035968 289375296 330714624 385833728 434062944 496071936 578750592 771667456 868125888 992143872 1157501184 1736251776 2315002368 3472503552 6945007104