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196337955072 = 2837193189229
BaseRepresentation
bin1011011011011010100…
…1110111000100000000
3200202210010111112020210
42312312221313010000
511204100004030242
6230110231434120
720120303040120
oct2666651670400
9622703445223
10196337955072
11762a2725696
1232075225940
131568c72739c
1497079c0c80
155191c08d9c
hex2db6a77100

196337955072 has 144 divisors (see below), whose sum is σ = 600292058240. Its totient is φ = 55805607936.

The previous prime is 196337955059. The next prime is 196337955127. The reversal of 196337955072 is 270559733691.

It is a super-3 number, since 3×1963379550723 (a number of 35 digits) contains 333 as substring.

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, 942954 + ... + 1132182.

Almost surely, 2196337955072 is an apocalyptic number.

196337955072 is a gapful number since it is divisible by the number (12) 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 196337955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300146029120).

196337955072 is an abundant number, since it is smaller than the sum of its proper divisors (403954103168).

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

196337955072 is a wasteful number, since it uses less digits than its factorization.

196337955072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189448 (or 189434 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 57.

The spelling of 196337955072 in words is "one hundred ninety-six billion, three hundred thirty-seven million, nine hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 193 224 256 336 384 386 448 579 672 768 772 896 1158 1344 1351 1544 1792 2316 2688 2702 3088 4053 4632 5376 5404 6176 8106 9264 10808 12352 16212 18528 21616 24704 32424 37056 43232 49408 64848 74112 86464 129696 148224 172928 189229 259392 345856 378458 518784 567687 756916 1037568 1135374 1324603 1513832 2270748 2649206 3027664 3973809 4541496 5298412 6055328 7947618 9082992 10596824 12110656 15895236 18165984 21193648 24221312 31790472 36331968 36521197 42387296 48442624 63580944 72663936 73042394 84774592 109563591 127161888 145327872 146084788 169549184 219127182 254323776 255648379 292169576 339098368 438254364 508647552 511296758 584339152 766945137 876508728 1017295104 1022593516 1168678304 1533890274 1753017456 2045187032 2337356608 3067780548 3506034912 4090374064 4674713216 6135561096 7012069824 8180748128 9349426432 12271122192 14024139648 16361496256 24542244384 28048279296 32722992512 49084488768 65445985024 98168977536 196337955072