Search a number
-
+
11405574401796 = 2231069492
BaseRepresentation
bin1010010111111001000100…
…1101011110111100000100
31111101100210002110000000000
42211332101031132330010
52443332104021324141
640131352030321300
72255011523544531
oct245762115367404
944340702400000
1011405574401796
1136a8093452943
121342587959230
136497058c62a3
142b6065bdbd88
1514ba4266c5b6
hexa5f9135ef04

11405574401796 has 99 divisors (see below), whose sum is σ = 29943772871061. Its totient is φ = 3801311025264.

The previous prime is 11405574401779. The next prime is 11405574401797. The reversal of 11405574401796 is 69710447550411.

The square root of 11405574401796 is 3377214.

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

11405574401796 is a `hidden beast` number, since 1 + 1 + 40 + 557 + 4 + 40 + 1 + 7 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9976210688196 + 1429363713600 = 3158514^2 + 1195560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11405574401797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1641322530 + ... + 1641329478.

Almost surely, 211405574401796 is an apocalyptic number.

11405574401796 is the 3377214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11405574401796

11405574401796 is an abundant number, since it is smaller than the sum of its proper divisors (18538198469265).

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

11405574401796 is an frugal number, since it uses more digits than its factorization.

11405574401796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13932 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

It can be divided in two parts, 11405574 and 401796, that added together give a triangular number (11807370 = T4859).

The spelling of 11405574401796 in words is "eleven trillion, four hundred five billion, five hundred seventy-four million, four hundred one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 6949 8748 13122 13898 19683 20847 26244 27796 39366 41694 59049 62541 78732 83388 118098 125082 187623 236196 250164 375246 562869 750492 1125738 1688607 2251476 3377214 5065821 6754428 10131642 15197463 20263284 30394926 45592389 48288601 60789852 91184778 96577202 136777167 144865803 182369556 193154404 273554334 289731606 410331501 434597409 547108668 579463212 820663002 869194818 1303792227 1641326004 1738389636 2607584454 3911376681 5215168908 7822753362 11734130043 15645506724 23468260086 35202390129 46936520172 70404780258 105607170387 140809560516 211214340774 316821511161 422428681548 633643022322 950464533483 1267286044644 1900929066966 2851393600449 3801858133932 5702787200898 11405574401796