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1690322415376 = 24725927872
BaseRepresentation
bin11000100110001111000…
…100010010111100010000
312222121000110211120211211
4120212033010102330100
5210143240014243001
63332305015345504
7233056523316100
oct30461704227420
95877013746754
101690322415376
115a1952a33a71
12233719682294
13c3520793a3a
145bb52355200
152de80deb351
hex1898f112f10

1690322415376 has 135 divisors (see below), whose sum is σ = 3880289480679. Its totient is φ = 711240634944.

The previous prime is 1690322415361. The next prime is 1690322415377. The reversal of 1690322415376 is 6735142230961.

The square root of 1690322415376 is 1300124.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1690322415377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2147804455 + ... + 2147805241.

Almost surely, 21690322415376 is an apocalyptic number.

1690322415376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1690322415376 is the 1300124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690322415376

1690322415376 is an abundant number, since it is smaller than the sum of its proper divisors (2189967065303).

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

1690322415376 is an frugal number, since it uses more digits than its factorization.

1690322415376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 1690322415376 by its sum of digits (49), we get a square (82825798353424 = 91008682).

1690322415376 divided by its sum of digits (49) gives a square (34496375824 = 1857322).

The spelling of 1690322415376 in words is "one trillion, six hundred ninety billion, three hundred twenty-two million, four hundred fifteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 787 826 944 1574 1652 2891 3148 3304 3481 5509 5782 6296 6608 6962 11018 11564 12592 13924 22036 23128 24367 27848 38563 44072 46256 46433 48734 55696 77126 88144 92866 97468 154252 170569 185732 194936 308504 325031 341138 371464 389872 617008 619369 650062 682276 742928 1238738 1300124 1364552 2275217 2477476 2600248 2729104 2739547 4335583 4550434 4954952 5200496 5479094 8671166 9100868 9909904 10958188 17342332 18201736 19176829 21916376 30349081 34684664 36403472 36542771 38353658 43832752 60698162 69369328 73085542 76707316 121396324 134237803 146171084 153414632 242792648 255799397 268475606 292342168 306829264 485585296 511598794 536951212 584684336 1023197588 1073902424 1790595779 2046395176 2147804848 2156023489 3581191558 4092790352 4312046978 7162383116 8624093956 14324766232 15092164423 17248187912 28649532464 30184328846 34496375824 60368657692 105645150961 120737315384 211290301922 241474630768 422580603844 845161207688 1690322415376