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938954227712 = 2155321012
BaseRepresentation
bin11011010100111100000…
…10001000000000000000
310022202121100000212211212
431222132002020000000
5110340434240241322
61555203303425252
7124560106151354
oct15523602100000
93282540025755
10938954227712
11332232201716
12131b85a55228
136a709c964a7
1433634b2d464
15196572e00e2
hexda9e088000

938954227712 has 144 divisors (see below), whose sum is σ = 1933117941615. Its totient is φ = 456058470400.

The previous prime is 938954227699. The next prime is 938954227721. The reversal of 938954227712 is 217722459839.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 938139467776 + 814759936 = 968576^2 + 28544^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=685184.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9296576462 + ... + 9296576562.

Almost surely, 2938954227712 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 938954227712

938954227712 is an abundant number, since it is smaller than the sum of its proper divisors (994163713903).

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

938954227712 is an frugal number, since it uses more digits than its factorization.

938954227712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 156 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 59.

The spelling of 938954227712 in words is "nine hundred thirty-eight billion, nine hundred fifty-four million, two hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 101 106 128 202 212 256 404 424 512 808 848 1024 1616 1696 2048 2809 3232 3392 4096 5353 5618 6464 6784 8192 10201 10706 11236 12928 13568 16384 20402 21412 22472 25856 27136 32768 40804 42824 44944 51712 54272 81608 85648 89888 103424 108544 163216 171296 179776 206848 217088 283709 326432 342592 359552 413696 434176 540653 567418 652864 685184 719104 827392 868352 1081306 1134836 1305728 1370368 1438208 1654784 1736704 2162612 2269672 2611456 2740736 2876416 3309568 4325224 4539344 5222912 5481472 5752832 8650448 9078688 10445824 10962944 11505664 17300896 18157376 20891648 21925888 23011328 28654609 34601792 36314752 41783296 43851776 46022656 57309218 69203584 72629504 83566592 87703552 92045312 114618436 138407168 145259008 167133184 175407104 229236872 276814336 290518016 334266368 458473744 553628672 581036032 916947488 1107257344 1162072064 1833894976 2214514688 2324144128 3667789952 4429029376 4648288256 7335579904 8858058752 9296576512 14671159808 17716117504 29342319616 58684639232 117369278464 234738556928 469477113856 938954227712