Search a number
-
+
1696429381248 = 2734723374523
BaseRepresentation
bin11000101011111011000…
…100100001011010000000
320000011210002011121010000
4120223323010201122000
5210243241410144443
63335155013040000
7233364046551240
oct30537304413200
96004702147100
101696429381248
115a44a71838a8
12234942926000
13c3c84a71b04
145c171449b20
152e1dc1128d3
hex18afb121680

1696429381248 has 160 divisors (see below), whose sum is σ = 5769767504160. Its totient is φ = 484694088192.

The previous prime is 1696429381247. The next prime is 1696429381289. The reversal of 1696429381248 is 8421839246961.

1696429381248 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 4 + 2 + 9 + 381 + 248 = 666.

It is a super-2 number, since 2×16964293812482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1696429381243) 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 19 ways as a sum of consecutive naturals, for example, 11614686 + ... + 11759837.

It is an arithmetic number, because the mean of its divisors is an integer number (36061046901).

Almost surely, 21696429381248 is an apocalyptic number.

1696429381248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1696429381248 is an abundant number, since it is smaller than the sum of its proper divisors (4073338122912).

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

1696429381248 is an equidigital number, since it uses as much as digits as its factorization.

1696429381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23374556 (or 23374535 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 1696429381248 in words is "one trillion, six hundred ninety-six billion, four hundred twenty-nine million, three hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 23374523 46749046 70123569 93498092 140247138 163621661 186996184 210370707 280494276 327243322 373992368 420741414 490864983 560988552 631112121 654486644 747984736 841482828 981729966 1121977104 1262224242 1308973288 1472594949 1495969472 1682965656 1893336363 1963459932 2243954208 2524448484 2617946576 2945189898 2991938944 3365931312 3786672726 3926919864 4417784847 4487908416 5048896968 5235893152 5890379796 6731862624 7573345452 7853839728 8835569694 8975816832 10097793936 10471786304 11780759592 13253354541 13463725248 15146690904 15707679456 17671139388 20195587872 20943572608 23561519184 26506709082 26927450496 30293381808 31415358912 35342278776 40391175744 47123038368 53013418164 60586763616 62830717824 70684557552 80782351488 94246076736 106026836328 121173527232 141369115104 188492153472 212053672656 242347054464 282738230208 424107345312 565476460416 848214690624 1696429381248