Search a number
-
+
163405380864 = 2831123098377
BaseRepresentation
bin1001100000101110111…
…0000011110100000000
3120121210000001102100010
42120023232003310000
510134123234141424
6203022320224520
714543223551205
oct2301356036400
9517700042303
10163405380864
1163333094210
122780416b140
131254192799b
147ca1cc1cac
1543b5909229
hex260bb83d00

163405380864 has 144 divisors (see below), whose sum is σ = 474694799040. Its totient is φ = 49489428480.

The previous prime is 163405380851. The next prime is 163405380913. The reversal of 163405380864 is 468083504361.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19502244 + ... + 19510620.

It is an arithmetic number, because the mean of its divisors is an integer number (3296491660).

Almost surely, 2163405380864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163405380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237347399520).

163405380864 is an abundant number, since it is smaller than the sum of its proper divisors (311289418176).

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

163405380864 is a wasteful number, since it uses less digits than its factorization.

163405380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716 (or 10702 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 163405380864 in words is "one hundred sixty-three billion, four hundred five million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2309 2816 4224 4618 6927 8377 8448 9236 13854 16754 18472 25131 25399 27708 33508 36944 50262 50798 55416 67016 73888 76197 92147 100524 101596 110832 134032 147776 152394 184294 201048 203192 221664 268064 276441 295552 304788 368588 402096 406384 443328 536128 552882 591104 609576 737176 804192 812768 886656 1072256 1105764 1219152 1474352 1608384 1625536 1773312 2144512 2211528 2438304 2948704 3216768 3251072 4423056 4876608 5897408 6433536 6502144 8846112 9753216 11794816 17692224 19342493 19506432 23589632 35384448 38684986 58027479 70768896 77369972 116054958 154739944 212767423 232109916 309479888 425534846 464219832 618959776 638302269 851069692 928439664 1237919552 1276604538 1702139384 1856879328 2475839104 2553209076 3404278768 3713758656 4951678208 5106418152 6808557536 7427517312 10212836304 13617115072 14855034624 20425672608 27234230144 40851345216 54468460288 81702690432 163405380864