Search a number
-
+
158072203300 = 2252111710977551
BaseRepresentation
bin1001001100110111010…
…1100110100000100100
3120010000022201221002011
42103031311212200210
510042212441001200
6200341203524004
714264114362444
oct2231565464044
9503008657064
10158072203300
1161046701a50
1226776089604
1311ba1a52c0b
147917892124
1541a25dd5ba
hex24cdd66824

158072203300 has 144 divisors (see below), whose sum is σ = 399851907840. Its totient is φ = 53602560000.

The previous prime is 158072203297. The next prime is 158072203301. The reversal of 158072203300 is 3302270851.

It is a super-2 number, since 2×1580722033002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (158072203301) 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 47 ways as a sum of consecutive naturals, for example, 1999525 + ... + 2077075.

It is an arithmetic number, because the mean of its divisors is an integer number (2776749360).

Almost surely, 2158072203300 is an apocalyptic number.

158072203300 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 158072203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199925953920).

158072203300 is an abundant number, since it is smaller than the sum of its proper divisors (241779704540).

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

158072203300 is a wasteful number, since it uses less digits than its factorization.

158072203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77702 (or 77695 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 158072203300 in words is "one hundred fifty-eight billion, seventy-two million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 109 110 170 187 218 220 275 340 374 425 436 545 550 748 850 935 1090 1100 1199 1700 1853 1870 2180 2398 2725 3706 3740 4675 4796 5450 5995 7412 9265 9350 10900 11990 18530 18700 20383 23980 29975 37060 40766 46325 59950 77551 81532 92650 101915 119900 155102 185300 203830 310204 387755 407660 509575 775510 853061 1019150 1318367 1551020 1706122 1938775 2038300 2636734 3412244 3877550 4265305 5273468 6591835 7755100 8453059 8530610 13183670 14502037 16906118 17061220 21326525 26367340 29004074 32959175 33812236 42265295 42653050 58008148 65918350 72510185 84530590 85306100 92983649 131836700 143702003 145020370 169061180 185967298 211326475 287404006 290040740 362550925 371934596 422652950 464918245 574808012 718510015 725101850 845305900 929836490 1437020030 1450203700 1580722033 1859672980 2324591225 2874040060 3161444066 3592550075 4649182450 6322888132 7185100150 7903610165 9298364900 14370200300 15807220330 31614440660 39518050825 79036101650 158072203300