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196158100248 = 233311355923197
BaseRepresentation
bin1011011010101111101…
…1110001001100011000
3200202022121001221211000
42312223323301030120
511203212433201443
6230040324505000
720112660225045
oct2665373611430
9622277057730
10196158100248
1176210152040
1232024b4b160
13156613a4606
1496cbb641cc
15518102d8d3
hex2dabef1318

196158100248 has 128 divisors (see below), whose sum is σ = 594611136000. Its totient is φ = 59422584960.

The previous prime is 196158100231. The next prime is 196158100261. The reversal of 196158100248 is 842001851691.

It is a happy number.

196158100248 is a `hidden beast` number, since 1 + 9 + 61 + 581 + 0 + 0 + 2 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8444586 + ... + 8467782.

It is an arithmetic number, because the mean of its divisors is an integer number (4645399500).

Almost surely, 2196158100248 is an apocalyptic number.

196158100248 is a gapful number since it is divisible by the number (18) 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 196158100248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297305568000).

196158100248 is an abundant number, since it is smaller than the sum of its proper divisors (398453035752).

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

196158100248 is a wasteful number, since it uses less digits than its factorization.

196158100248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26782 (or 26772 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 196158100248 in words is "one hundred ninety-six billion, one hundred fifty-eight million, one hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 3559 7118 10677 14236 21354 23197 28472 32031 39149 42708 46394 64062 69591 78298 85416 92788 96093 117447 128124 139182 156596 185576 192186 208773 234894 255167 256248 278364 313192 352341 384372 417546 469788 510334 556728 626319 704682 765501 768744 835092 939576 1020668 1057023 1252638 1409364 1531002 1670184 2041336 2114046 2296503 2505276 2818728 3062004 4228092 4593006 5010552 6124008 6889509 8456184 9186012 13779018 18372024 27558036 55116072 82558123 165116246 247674369 330232492 495348738 660464984 743023107 908139353 990697476 1486046214 1816278706 1981394952 2229069321 2724418059 2972092428 3632557412 4458138642 5448836118 5944184856 7265114824 8173254177 8916277284 10897672236 16346508354 17832554568 21795344472 24519762531 32693016708 49039525062 65386033416 98079050124 196158100248