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954641961042 = 237114783529691
BaseRepresentation
bin11011110010001010001…
…10000101000001010010
310101021002122021022022020
431321011012011001102
5111120101320223132
62010320110152310
7125653626532260
oct15710506050122
93337078238266
10954641961042
11338952554990
121350237b2696
136c03a148433
14342c2417430
1519c746a252c
hexde45185052

954641961042 has 128 divisors (see below), whose sum is σ = 2460347301888. Its totient is φ = 239758881600.

The previous prime is 954641960983. The next prime is 954641961043. The reversal of 954641961042 is 240169146459.

It is a happy number.

It is a super-2 number, since 2×9546419610422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (954641961043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1537417 + ... + 2067107.

It is an arithmetic number, because the mean of its divisors is an integer number (19221463296).

Almost surely, 2954641961042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 954641961042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230173650944).

954641961042 is an abundant number, since it is smaller than the sum of its proper divisors (1505705340846).

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

954641961042 is a wasteful number, since it uses less digits than its factorization.

954641961042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529844.

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 954641961042 in words is "nine hundred fifty-four billion, six hundred forty-one million, nine hundred sixty-one thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 83 94 141 154 166 231 249 282 329 462 498 517 581 658 913 987 1034 1162 1551 1743 1826 1974 2739 3102 3486 3619 3901 5478 6391 7238 7802 10857 11703 12782 19173 21714 23406 27307 38346 42911 54614 81921 85822 128733 163842 257466 300377 529691 600754 901131 1059382 1589073 1802262 3178146 3707837 5826601 7415674 11123511 11653202 17479803 22247022 24895477 34959606 40786207 43964353 49790954 74686431 81572414 87928706 122358621 131893059 149372862 174268339 244717242 263786118 273850247 307750471 348536678 483607883 522805017 547700494 615500942 821550741 923251413 967215766 1045610034 1450823649 1643101482 1846502826 1916951729 2066324591 2901647298 3385255181 3833903458 4132649182 5750855187 6198973773 6770510362 10155765543 11501710374 12397947546 14464272137 20311531086 22729570501 28928544274 43392816411 45459141002 68188711503 86785632822 136377423006 159106993507 318213987014 477320980521 954641961042