Search a number
-
+
10645478630440 = 2351783300162851
BaseRepresentation
bin1001101011101001011111…
…1110001110010000101000
31101200200211201011002220121
42122322113332032100220
52343403420012133230
634350244304133024
72146052612232523
oct232722776162050
941620751132817
1010645478630440
1134347a4183805
12123b1b9307174
135c2b30c09334
1428b35b433bba
15136da774577a
hex9ae97f8e428

10645478630440 has 128 divisors (see below), whose sum is σ = 25675806280320. Its totient is φ = 3958041600000.

The previous prime is 10645478630393. The next prime is 10645478630441. The reversal of 10645478630440 is 4403687454601.

It is a super-2 number, since 2×106454786304402 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10645478630441) 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 31 ways as a sum of consecutive naturals, for example, 169345015 + ... + 169407865.

It is an arithmetic number, because the mean of its divisors is an integer number (200592236565).

Almost surely, 210645478630440 is an apocalyptic number.

10645478630440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645478630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837903140160).

10645478630440 is an abundant number, since it is smaller than the sum of its proper divisors (15030327649880).

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

10645478630440 is a wasteful number, since it uses less digits than its factorization.

10645478630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65963 (or 65959 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 10645478630440 in words is "ten trillion, six hundred forty-five billion, four hundred seventy-eight million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 83 85 136 166 170 332 340 415 664 680 830 1411 1660 2822 3001 3320 5644 6002 7055 11288 12004 14110 15005 24008 28220 30010 51017 56440 60020 62851 102034 120040 125702 204068 249083 251404 255085 314255 408136 498166 502808 510170 628510 996332 1020340 1068467 1245415 1257020 1992664 2040680 2136934 2490830 2514040 4234411 4273868 4981660 5216633 5342335 8468822 8547736 9963320 10433266 10684670 16937644 20866532 21172055 21369340 26083165 33875288 41733064 42344110 42738680 52166330 84688220 88682761 104332660 169376440 177365522 188615851 208665320 354731044 377231702 443413805 709462088 754463404 886827610 943079255 1508926808 1773655220 1886158510 3206469467 3547310440 3772317020 6412938934 7544634040 12825877868 15655115633 16032347335 25651755736 31310231266 32064694670 62620462532 64129389340 78275578165 125240925064 128258778680 156551156330 266136965761 313102312660 532273931522 626204625320 1064547863044 1330684828805 2129095726088 2661369657610 5322739315220 10645478630440