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1897407071296 = 2611414232
BaseRepresentation
bin11011100111000110010…
…001100100010001000000
320201101112120011002012221
4123213012101210101000
5222041342202240141
64011353510300424
7254040341666452
oct33470621442100
96641476132187
101897407071296
1167175a910000
12267891957714
13109c037b94b9
1467b9930c2d2
153455130cbd1
hex1b9c6464440

1897407071296 has 105 divisors (see below), whose sum is σ = 4144570713255. Its totient is φ = 861851675520.

The previous prime is 1897407071279. The next prime is 1897407071303. The reversal of 1897407071296 is 6921707047981.

The square root of 1897407071296 is 1377464.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1333384441 + ... + 1333385863.

It is an arithmetic number, because the mean of its divisors is an integer number (39472102031).

Almost surely, 21897407071296 is an apocalyptic number.

1897407071296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1897407071296 is the 1377464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1897407071296

1897407071296 is an abundant number, since it is smaller than the sum of its proper divisors (2247163641959).

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

1897407071296 is an frugal number, since it uses more digits than its factorization.

1897407071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 61.

The spelling of 1897407071296 in words is "one trillion, eight hundred ninety-seven billion, four hundred seven million, seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1331 1423 1936 2662 2846 3872 5324 5692 7744 10648 11384 14641 15653 21296 22768 29282 31306 42592 45536 58564 62612 85184 91072 117128 125224 172183 234256 250448 344366 468512 500896 688732 937024 1001792 1377464 1894013 2024929 2754928 3788026 4049858 5509856 7576052 8099716 11019712 15152104 16199432 20834143 22274219 30304208 32398864 41668286 44548438 60608416 64797728 83336572 89096876 121216832 129595456 166673144 178193752 245016409 333346288 356387504 490032818 666692576 712775008 980065636 1333385152 1425550016 1960131272 2695180499 3920262544 5390360998 7840525088 10780721996 15681050176 21561443992 29646985489 43122887984 59293970978 86245775968 118587941956 172491551936 237175883912 474351767824 948703535648 1897407071296