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196029079792 = 247136114914813
BaseRepresentation
bin1011011010010000111…
…1100110000011110000
3200201222121022001000121
42312210033212003300
511202431421023132
6230015435300024
720106532454110
oct2664417460360
9621877261017
10196029079792
117615433a067
1231ba98aa614
131564073c950
1496b897b040
155174a45497
hex2da43e60f0

196029079792 has 160 divisors (see below), whose sum is σ = 478338134400. Its totient is φ = 75761602560.

The previous prime is 196029079739. The next prime is 196029079801. The reversal of 196029079792 is 297970920691.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 196029079792.

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, 13226178 + ... + 13240990.

It is an arithmetic number, because the mean of its divisors is an integer number (2989613340).

Almost surely, 2196029079792 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 196029079792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239169067200).

196029079792 is an abundant number, since it is smaller than the sum of its proper divisors (282309054608).

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

196029079792 is a wasteful number, since it uses less digits than its factorization.

196029079792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15051 (or 15045 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 61.

The spelling of 196029079792 in words is "one hundred ninety-six billion, twenty-nine million, seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 122 149 182 208 244 298 364 427 488 596 728 793 854 976 1043 1192 1456 1586 1708 1937 2086 2384 3172 3416 3874 4172 5551 6344 6832 7748 8344 9089 11102 12688 13559 14813 15496 16688 18178 22204 27118 29626 30992 36356 44408 54236 59252 63623 72712 88816 103691 108472 118157 118504 127246 145424 192569 207382 216944 236314 237008 254492 385138 414764 472628 508984 770276 827099 829528 903593 945256 1017968 1347983 1540552 1654198 1659056 1807186 1890512 2207137 2695966 3081104 3308396 3614372 4414274 5391932 6325151 6616792 7228744 8828548 10783864 11746709 12650302 13233584 14457488 15449959 17657096 21567728 23493418 25300604 28692781 30899918 35314192 46986836 50601208 57385562 61799836 82226963 93973672 101202416 114771124 123599672 134635357 164453926 187947344 200849467 229542248 247199344 269270714 328907852 401698934 459084496 538541428 657815704 803397868 942447499 1077082856 1315631408 1606795736 1750259641 1884894998 2154165712 3213591472 3500519282 3769789996 7001038564 7539579992 12251817487 14002077128 15079159984 24503634974 28004154256 49007269948 98014539896 196029079792