Search a number
-
+
96462212700 = 223527113406499
BaseRepresentation
bin101100111010110011…
…0001000111001011100
3100012222121200010102110
41121311212020321130
53040023311301300
6112151503554020
76653265164550
oct1316546107134
9305877603373
1096462212700
1137a0044a147
1216840bbb910
1391338a2789
144951267860
152798866550
hex1675988e5c

96462212700 has 144 divisors (see below), whose sum is σ = 321791904000. Its totient is φ = 21853332480.

The previous prime is 96462212699. The next prime is 96462212701. The reversal of 96462212700 is 721226469.

It is an interprime number because it is at equal distance from previous prime (96462212699) and next prime (96462212701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96462212701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34051 + ... + 440549.

It is an arithmetic number, because the mean of its divisors is an integer number (2234666000).

Almost surely, 296462212700 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 96462212700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160895952000).

96462212700 is an abundant number, since it is smaller than the sum of its proper divisors (225329691300).

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

96462212700 is a wasteful number, since it uses less digits than its factorization.

96462212700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406636 (or 406629 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 96462212700 in words is "ninety-six billion, four hundred sixty-two million, two hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 113 140 150 175 210 226 300 339 350 420 452 525 565 678 700 791 1050 1130 1356 1582 1695 2100 2260 2373 2825 3164 3390 3955 4746 5650 6780 7910 8475 9492 11300 11865 15820 16950 19775 23730 33900 39550 47460 59325 79100 118650 237300 406499 812998 1219497 1625996 2032495 2438994 2845493 4064990 4877988 5690986 6097485 8129980 8536479 10162475 11381972 12194970 14227465 17072958 20324950 24389940 28454930 30487425 34145916 40649900 42682395 45934387 56909860 60974850 71137325 85364790 91868774 121949700 137803161 142274650 170729580 183737548 213411975 229671935 275606322 284549300 321540709 426823950 459343870 551212644 643081418 689015805 853647900 918687740 964622127 1148359675 1286162836 1378031610 1607703545 1929244254 2296719350 2756063220 3215407090 3445079025 3858488508 4593438700 4823110635 6430814180 6890158050 8038517725 9646221270 13780316100 16077035450 19292442540 24115553175 32154070900 48231106350 96462212700