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1054442679006 = 231391678239199
BaseRepresentation
bin11110101100000011010…
…11100110101011011110
310201210200220221001222210
433112001223212223132
5114233444311212011
62124223154021250
7136116033613503
oct17260153465336
93653626831883
101054442679006
11377206448492
12150436877826
13785835925c2
143906cc014aa
151c6661756a6
hexf581ae6ade

1054442679006 has 64 divisors (see below), whose sum is σ = 2139604992000. Its totient is φ = 346403596896.

The previous prime is 1054442678959. The next prime is 1054442679019. The reversal of 1054442679006 is 6009762444501.

It is a happy number.

It is a super-2 number, since 2×10544426790062 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 114621195 + ... + 114630393.

It is an arithmetic number, because the mean of its divisors is an integer number (33431328000).

Almost surely, 21054442679006 is an apocalyptic number.

1054442679006 is an abundant number, since it is smaller than the sum of its proper divisors (1085162312994).

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

1054442679006 is a wasteful number, since it uses less digits than its factorization.

1054442679006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 1054442679006 in words is "one trillion, fifty-four billion, four hundred forty-two million, six hundred seventy-nine thousand, six".

Divisors: 1 2 3 6 139 167 278 334 417 501 823 834 1002 1646 2469 4938 9199 18398 23213 27597 46426 55194 69639 114397 137441 139278 228794 274882 343191 412323 686382 824646 1278661 1536233 2557322 3072466 3835983 4608699 7570777 7671966 9217398 15141554 19104299 22712331 38208598 45424662 57312897 114625794 213536387 427072774 640609161 1052338003 1264319759 1281218322 2104676006 2528639518 3157014009 3792959277 6314028018 7585918554 175740446501 351480893002 527221339503 1054442679006