Search a number
-
+
995383340721 = 32741126172
BaseRepresentation
bin11100111110000010111…
…10000110111010110001
310112011020222100211112100
432133001132012322301
5112302021113400341
62041134531251013
7131625345540000
oct16370136067261
93464228324470
10995383340721
11354159a45500
12140ab3a49a69
1372b309978a3
1436269250c37
151ad5b2d23b6
hexe7c1786eb1

995383340721 has 135 divisors (see below), whose sum is σ = 1846642728203. Its totient is φ = 516244196160.

The previous prime is 995383340593. The next prime is 995383340741. The reversal of 995383340721 is 127043383599.

The square root of 995383340721 is 997689.

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

995383340721 is a `hidden beast` number, since 9 + 9 + 538 + 3 + 34 + 0 + 72 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28826946225 + 966556394496 = 169785^2 + 983136^2 .

It is not a de Polignac number, because 995383340721 - 27 = 995383340593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (995383340741) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1613262805 + ... + 1613263421.

Almost surely, 2995383340721 is an apocalyptic number.

995383340721 is the 997689-th square number.

995383340721 is the 498845-th centered octagonal number.

It is an amenable number.

995383340721 is a deficient number, since it is larger than the sum of its proper divisors (851259387482).

995383340721 is an frugal number, since it uses more digits than its factorization.

995383340721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 995383340721 in words is "nine hundred ninety-five billion, three hundred eighty-three million, three hundred forty thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 343 363 441 539 617 693 847 1029 1089 1617 1851 2401 2541 3087 3773 4319 4851 5553 5929 6787 7203 7623 11319 12957 17787 20361 21609 26411 30233 33957 38871 41503 47509 53361 61083 74657 79233 90699 124509 142527 211631 223971 237699 272097 290521 332563 373527 380689 427581 522599 634893 671913 871563 997689 1142067 1481417 1567797 1904679 2327941 2614689 2664823 2993067 3426201 3658193 4187579 4444251 4703391 6983823 7994469 10974579 12562737 13332753 16295587 18653761 20951469 23983407 25607351 29313053 32923737 37688211 46063369 48886761 55961283 76822053 87939159 130576327 138190107 146660283 167883849 179251457 205191371 230466159 263817477 322443583 391728981 414570321 537754371 615574113 914034289 967330749 1175186943 1436339597 1613263113 1846722339 2257105081 2742102867 2901992247 4309018791 6771315243 8226308601 10054377179 12927056373 15799735567 20313945729 30163131537 47399206701 90489394611 110598148969 142197620103 331794446907 995383340721