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10022974331136 = 283136714983637
BaseRepresentation
bin1001000111011010011111…
…0100110001100100000000
31022111012001022111012100120
42101312213310301210000
52303204022412044021
633152254004420240
72053064435054454
oct221664764614400
938435038435316
1010022974331136
1132147a0791048
12115a6299a7680
13579215acabc0
14269186458664
15125ac1d822c6
hex91da7d31900

10022974331136 has 144 divisors (see below), whose sum is σ = 29156481380544. Its totient is φ = 3037962166272.

The previous prime is 10022974331131. The next prime is 10022974331177. The reversal of 10022974331136 is 63113347922001.

It is a super-2 number, since 2×100229743311362 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022974331131) 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 15 ways as a sum of consecutive naturals, for example, 6822891 + ... + 8160746.

Almost surely, 210022974331136 is an apocalyptic number.

10022974331136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10022974331136 is an abundant number, since it is smaller than the sum of its proper divisors (19133507049408).

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

10022974331136 is a wasteful number, since it uses less digits than its factorization.

10022974331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983736 (or 14983722 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 10022974331136 in words is "ten trillion, twenty-two billion, nine hundred seventy-four million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 128 134 156 192 201 208 256 268 312 384 402 416 536 624 768 804 832 871 1072 1248 1608 1664 1742 2144 2496 2613 3216 3328 3484 4288 4992 5226 6432 6968 8576 9984 10452 12864 13936 17152 20904 25728 27872 41808 51456 55744 83616 111488 167232 222976 334464 668928 14983637 29967274 44950911 59934548 89901822 119869096 179803644 194787281 239738192 359607288 389574562 479476384 584361843 719214576 779149124 958952768 1003903679 1168723686 1438429152 1558298248 1917905536 2007807358 2337447372 2876858304 3011711037 3116596496 3835811072 4015614716 4674894744 5753716608 6023422074 6233192992 8031229432 9349789488 11507433216 12046844148 12466385984 13050747827 16062458864 18699578976 24093688296 24932771968 26101495654 32124917728 37399157952 39152243481 48187376592 49865543936 52202991308 64249835456 74798315904 78304486962 96374753184 104405982616 128499670912 149596631808 156608973924 192749506368 208811965232 256999341824 313217947848 385499012736 417623930464 626435895696 770998025472 835247860928 1252871791392 1670495721856 2505743582784 3340991443712 5011487165568 10022974331136