Search a number
-
+
169948996096 = 2911534311321
BaseRepresentation
bin1001111001000110111…
…1111110001000000000
3121020200001000111220211
42132101233332020000
510241023420333341
6210023512443504
715164331426505
oct2362157761000
9536601014824
10169948996096
1166090861190
1228b2b6a9594
1313045509a69
148322d9b4ac
15464a123181
hex2791bfe200

169948996096 has 160 divisors (see below), whose sum is σ = 378587126016. Its totient is φ = 75558912000.

The previous prime is 169948996093. The next prime is 169948996097. The reversal of 169948996096 is 690699849961.

It is a super-2 number, since 2×1699489960962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (169948996093) 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, 128651116 + ... + 128652436.

Almost surely, 2169948996096 is an apocalyptic number.

169948996096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169948996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189293563008).

169948996096 is an abundant number, since it is smaller than the sum of its proper divisors (208638129920).

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

169948996096 is a wasteful number, since it uses less digits than its factorization.

169948996096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 76.

The spelling of 169948996096 in words is "one hundred sixty-nine billion, nine hundred forty-eight million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 431 512 583 704 848 862 1166 1321 1408 1696 1724 2332 2642 2816 3392 3448 4664 4741 5284 5632 6784 6896 9328 9482 10568 13568 13792 14531 18656 18964 21136 22843 27136 27584 29062 37312 37928 42272 45686 55168 58124 70013 74624 75856 84544 91372 110336 116248 140026 149248 151712 169088 182744 220672 232496 251273 280052 298496 303424 338176 365488 464992 502546 560104 569351 606848 676352 730976 770143 929984 1005092 1120208 1138702 1213696 1461952 1540286 1859968 2010184 2240416 2277404 2427392 2923904 3080572 3719936 4020368 4480832 4554808 5847808 6161144 6262861 7439872 8040736 8961664 9109616 11695616 12322288 12525722 16081472 17923328 18219232 24644576 25051444 30175603 32162944 35846656 36438464 49289152 50102888 60351206 64325888 72876928 98578304 100205776 120702412 128651776 145753856 197156608 200411552 241404824 291507712 331931633 394313216 400823104 482809648 663863266 801646208 965619296 1327726532 1603292416 1931238592 2655453064 3206584832 3862477184 5310906128 7724954368 10621812256 15449908736 21243624512 42487249024 84974498048 169948996096