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7431054192016 = 247213274892
BaseRepresentation
bin110110000100010110101…
…0110000110110110010000
3222022101211221110202022221
41230020231112012312100
51433222244333121031
623445440144510424
71364606310305200
oct154105526066620
928271757422287
107431054192016
112405546400844
12a0023101b414
1341b98c861400
141b994485a400
15cd473559a11
hex6c22d586d90

7431054192016 has 135 divisors (see below), whose sum is σ = 18138162785571. Its totient is φ = 2939365158912.

The previous prime is 7431054191987. The next prime is 7431054192041. The reversal of 7431054192016 is 6102914501347.

It is a happy number.

The square root of 7431054192016 is 2725996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1062012691600 + 6369041500416 = 1030540^2 + 2523696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 992258800 + ... + 992266288.

Almost surely, 27431054192016 is an apocalyptic number.

7431054192016 is the 2725996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7431054192016

7431054192016 is an abundant number, since it is smaller than the sum of its proper divisors (10707108593555).

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

7431054192016 is an frugal number, since it uses more digits than its factorization.

7431054192016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15026 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 7431054192016 in words is "seven trillion, four hundred thirty-one billion, fifty-four million, one hundred ninety-two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 7489 8281 9464 10192 14978 16562 18928 29956 33124 52423 59912 66248 97357 104846 119824 132496 194714 209692 366961 389428 419384 681499 733922 778856 838768 1265641 1362998 1467844 1557712 2531282 2725996 2935688 4770493 5062564 5451992 5871376 8859487 9540986 10125128 10903984 17718974 19081972 20250256 35437948 38163944 56085121 62016409 70875896 76327888 112170242 124032818 141751792 224340484 248065636 392595847 448680968 496131272 729106573 785191694 897361936 992262544 1458213146 1570383388 2748170929 2916426292 3140766776 5103746011 5496341858 5832852584 6281533552 9478385449 10207492022 10992683716 11665705168 18956770898 20414984044 21985367432 35726222077 37913541796 40829968088 43970734864 66348698143 71452444154 75827083592 81659936176 132697396286 142904888308 151654167184 265394792572 285809776616 464440887001 530789585144 571619553232 928881774002 1061579170288 1857763548004 3715527096008 7431054192016