Search a number
-
+
192711968000 = 28537976231
BaseRepresentation
bin1011001101111010000…
…1110100010100000000
3200102102102120022002022
42303132201310110000
511124133230434000
6224310342141012
716631403462206
oct2633641642400
9612372508068
10192711968000
1174801977962
1231422a21768
13152324489c6
1494821c9076
15502d712585
hex2cde874500

192711968000 has 144 divisors (see below), whose sum is σ = 486152808960. Its totient is φ = 76108032000.

The previous prime is 192711967997. The next prime is 192711968081. The reversal of 192711968000 is 869117291.

It is a super-2 number, since 2×1927119680002 (a number of 23 digits) contains 22 as substring.

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, 2489885 + ... + 2566115.

Almost surely, 2192711968000 is an apocalyptic number.

192711968000 is a gapful number since it is divisible by the number (10) 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 192711968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243076404480).

192711968000 is an abundant number, since it is smaller than the sum of its proper divisors (293440840960).

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

192711968000 is an frugal number, since it uses more digits than its factorization.

192711968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76341 (or 76317 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 44.

The spelling of 192711968000 in words is "one hundred ninety-two billion, seven hundred eleven million, nine hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 128 158 160 200 250 256 316 320 395 400 500 632 640 790 800 1000 1264 1280 1580 1600 1975 2000 2528 3160 3200 3950 4000 5056 6320 6400 7900 8000 9875 10112 12640 15800 16000 19750 20224 25280 31600 32000 39500 50560 63200 76231 79000 101120 126400 152462 158000 252800 304924 316000 381155 505600 609848 632000 762310 1219696 1264000 1524620 1905775 2439392 2528000 3049240 3811550 4878784 6022249 6098480 7623100 9528875 9757568 12044498 12196960 15246200 19057750 19515136 24088996 24393920 30111245 30492400 38115500 48177992 48787840 60222490 60984800 76231000 96355984 97575680 120444980 121969600 150556225 152462000 192711968 240889960 243939200 301112450 304924000 385423936 481779920 487878400 602224900 609848000 752781125 770847872 963559840 1204449800 1219696000 1505562250 1541695744 1927119680 2408899600 2439392000 3011124500 3854239360 4817799200 6022249000 7708478720 9635598400 12044498000 19271196800 24088996000 38542393600 48177992000 96355984000 192711968000