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91419803374016 = 26131731269750023
BaseRepresentation
bin10100110010010101010100…
…111001111101000111000000
3102222200122111021121201001002
4110302111110321331013000
543440310224130432031
6522233402231231132
725153601644156205
oct2462252471750700
9388618437551032
1091419803374016
1127146a14771457
12a30592b2184a8
133c01b096268a0
141880a5642dcac
15a8808b367ccb
hex532554e7d1c0

91419803374016 has 112 divisors (see below), whose sum is σ = 196514564535744. Its totient is φ = 41945718398976.

The previous prime is 91419803374007. The next prime is 91419803374019. The reversal of 91419803374016 is 61047330891419.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91419803374019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1827530381 + ... + 1827580403.

It is an arithmetic number, because the mean of its divisors is an integer number (1754594326212).

Almost surely, 291419803374016 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 91419803374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98257282267872).

91419803374016 is an abundant number, since it is smaller than the sum of its proper divisors (105094761161728).

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

91419803374016 is a wasteful number, since it uses less digits than its factorization.

91419803374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62918 (or 62908 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 91419803374016 in words is "ninety-one trillion, four hundred nineteen billion, eight hundred three million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 173 208 346 416 692 832 1384 2249 2768 4498 5536 8996 11072 12697 17992 25394 35984 50023 50788 71968 100046 101576 143936 165061 200092 203152 330122 400184 406304 650299 660244 800368 812608 1300598 1320488 1600736 2196581 2601196 2640976 3201472 4393162 5202392 5281952 8653979 8786324 10404784 10563904 17307958 17572648 20809568 28555553 34615916 35145296 41619136 57111106 69231832 70290592 112501727 114222212 138463664 140581184 225003454 228444424 276927328 450006908 456888848 553854656 635142031 900013816 913777696 1270284062 1800027632 1827555392 2540568124 3600055264 5081136248 7200110528 8256846403 10162272496 16513692806 20324544992 33027385612 40649089984 66054771224 109879571363 132109542448 219759142726 264219084896 439518285452 528438169792 879036570904 1428434427719 1758073141808 2856868855438 3516146283616 5713737710876 7032292567232 11427475421752 22854950843504 45709901687008 91419803374016