Search a number
-
+
199157040956 = 221931433535569
BaseRepresentation
bin1011100101111010101…
…1110100011100111100
3201001001121002221002002
42321132223310130330
511230333200302311
6231254054321432
720250203626316
oct2713653643474
9631047087062
10199157040956
1177509a59635
1232721359278
1315a1b7a7943
1498d41727b6
1552a946393b
hex2e5eaf473c

199157040956 has 96 divisors (see below), whose sum is σ = 388677273600. Its totient is φ = 88902696960.

The previous prime is 199157040949. The next prime is 199157040967. The reversal of 199157040956 is 659040751991.

It is a super-2 number, since 2×1991570409562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35758940 + ... + 35764508.

It is an arithmetic number, because the mean of its divisors is an integer number (4048721600).

Almost surely, 2199157040956 is an apocalyptic number.

It is an amenable number.

199157040956 is a deficient number, since it is larger than the sum of its proper divisors (189520232644).

199157040956 is a wasteful number, since it uses less digits than its factorization.

199157040956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 56.

The spelling of 199157040956 in words is "one hundred ninety-nine billion, one hundred fifty-seven million, forty thousand, nine hundred fifty-six".

Divisors: 1 2 4 19 31 38 43 62 76 86 124 172 353 589 706 817 1178 1333 1412 1634 2356 2666 3268 5332 5569 6707 10943 11138 13414 15179 21886 22276 25327 26828 30358 43772 50654 60716 101308 105811 172639 207917 211622 239467 288401 345278 415834 423244 470549 478934 576802 690556 831668 941098 957868 1153604 1882196 1965857 3280141 3931714 4549873 6560282 7423477 7863428 8940431 9099746 13120564 14846954 17880862 18199492 29693908 35761724 37351283 60941567 74702566 84531851 121883134 141046063 149405132 169063702 243766268 282092126 338127404 564184252 1157889773 1606105169 2315779546 2620487381 3212210338 4631559092 5240974762 6424420676 10481949524 49789260239 99578520478 199157040956