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9941371174696 = 23131753827128287
BaseRepresentation
bin1001000010101010011111…
…1001011011111100101000
31022012101102020202100011011
42100222213321123330220
52300334412010042241
633051000341513304
72044145305505413
oct220524771337450
938171366670134
109941371174696
113193125947895
121146855112834
1357160c7c6710
14265244806b7a
151238e7c8e281
hex90aa7e5bf28

9941371174696 has 128 divisors (see below), whose sum is σ = 21682129351680. Its totient is φ = 4231787728896.

The previous prime is 9941371174681. The next prime is 9941371174717. The reversal of 9941371174696 is 6964711731499.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77429065 + ... + 77557351.

It is an arithmetic number, because the mean of its divisors is an integer number (169391635560).

Almost surely, 29941371174696 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 9941371174696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841064675840).

9941371174696 is an abundant number, since it is smaller than the sum of its proper divisors (11740758176984).

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

9941371174696 is a wasteful number, since it uses less digits than its factorization.

9941371174696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129203 (or 129199 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 67.

The spelling of 9941371174696 in words is "nine trillion, nine hundred forty-one billion, three hundred seventy-one million, one hundred seventy-four thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 424 442 689 827 884 901 1378 1654 1768 1802 2756 3308 3604 5512 6616 7208 10751 11713 14059 21502 23426 28118 43004 43831 46852 56236 86008 87662 93704 112472 128287 175324 182767 256574 350648 365534 513148 569803 731068 745127 1026296 1139606 1462136 1490254 1667731 2180879 2279212 2980508 3335462 4361758 4558424 5961016 6670924 6799211 8723516 9686651 13341848 13598422 17447032 19373302 27196844 28351427 38746604 54393688 56702854 77493208 88389743 106093349 113405708 115586587 176779486 212186698 226811416 231173174 353558972 424373396 462346348 707117944 848746792 924692696 1379213537 1502625631 1803586933 2758427074 3005251262 3607173866 5516854148 5622947497 6010502524 7214347732 11033708296 11245894994 12021005048 14428695464 22491789988 23446630129 44983579976 46893260258 73098317461 93786520516 95590107449 146196634922 187573041032 191180214898 292393269844 382360429796 584786539688 764720859592 1242671396837 2485342793674 4970685587348 9941371174696