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1354975309896 = 23313267274419
BaseRepresentation
bin10011101101111010110…
…100100111000001001000
311210112102120002112221220
4103231322310213001020
5134144442134404041
62514244515202040
7166615360046655
oct23557264470110
94715376075856
101354975309896
114827072691aa
1219a72a5a6320
139aa0985c900
144981c990c2c
15253a5495d66
hex13b7ad27048

1354975309896 has 144 divisors (see below), whose sum is σ = 3723668701200. Its totient is φ = 410687342208.

The previous prime is 1354975309841. The next prime is 1354975309901. The reversal of 1354975309896 is 6989035794531.

It is a super-2 number, since 2×13549753098962 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1354975309896.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18170175 + ... + 18244593.

It is an arithmetic number, because the mean of its divisors is an integer number (25858810425).

Almost surely, 21354975309896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354975309896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861834350600).

1354975309896 is an abundant number, since it is smaller than the sum of its proper divisors (2368693391304).

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

1354975309896 is a wasteful number, since it uses less digits than its factorization.

1354975309896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74588 (or 74504 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 69.

The spelling of 1354975309896 in words is "one trillion, three hundred fifty-four billion, nine hundred seventy-five million, three hundred nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 169 201 268 312 338 402 507 536 676 804 871 1014 1352 1608 1742 2028 2613 3484 4056 4489 5226 6968 8978 10452 11323 13467 17956 20904 22646 26934 33969 35912 45292 53868 58357 67938 74419 90584 107736 116714 135876 148838 175071 223257 233428 271752 297676 350142 446514 466856 595352 700284 758641 893028 967447 1400568 1517282 1786056 1934894 2275923 2902341 3034564 3869788 4551846 4986073 5804682 6069128 7739576 9103692 9972146 11609364 12576811 14958219 18207384 19944292 23218728 25153622 29916438 37730433 39888584 50307244 59832876 64818949 75460866 100614488 119665752 129637898 150921732 194456847 259275796 301843464 334066891 388913694 518551592 668133782 777827388 842646337 1002200673 1336267564 1555654776 1685292674 2004401346 2527939011 2672535128 3370585348 4008802692 4342869583 5055878022 6741170696 8017605384 8685739166 10111756044 13028608749 17371478332 20223512088 26057217498 34742956664 52114434996 56457304579 104228869992 112914609158 169371913737 225829218316 338743827474 451658436632 677487654948 1354975309896