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10474622319480 = 23351125493113111
BaseRepresentation
bin1001100001101101000000…
…1001000111101101111000
31101002100211102212012222120
42120123100021013231320
52333104011303210410
634135550340321240
72130523622450124
oct230332011075570
941070742765876
1010474622319480
113379298254530
1212120759a3220
135ac9a2744597
14282d8db74584
15132707b4d570
hex986d0247b78

10474622319480 has 128 divisors (see below), whose sum is σ = 34294041792000. Its totient is φ = 2538305369600.

The previous prime is 10474622319457. The next prime is 10474622319517. The reversal of 10474622319480 is 8491322647401.

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, 1808125 + ... + 4921235.

It is an arithmetic number, because the mean of its divisors is an integer number (267922201500).

Almost surely, 210474622319480 is an apocalyptic number.

10474622319480 is a gapful number since it is divisible by the number (10) 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 10474622319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147020896000).

10474622319480 is an abundant number, since it is smaller than the sum of its proper divisors (23819419472520).

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

10474622319480 is a wasteful number, since it uses less digits than its factorization.

10474622319480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115685 (or 3115681 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 10474622319480 in words is "ten trillion, four hundred seventy-four billion, six hundred twenty-two million, three hundred nineteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2549 5098 7647 10196 12745 15294 20392 25490 28039 30588 38235 50980 56078 61176 76470 84117 101960 112156 140195 152940 168234 224312 280390 305880 336468 420585 560780 672936 841170 1121560 1682340 3113111 3364680 6226222 9339333 12452444 15565555 18678666 24904888 31131110 34244221 37357332 46696665 62262220 68488442 74714664 93393330 102732663 124524440 136976884 171221105 186786660 205465326 273953768 342442210 373573320 410930652 513663315 684884420 821861304 1027326630 1369768840 2054653260 4109306520 7935319939 15870639878 23805959817 31741279756 39676599695 47611919634 63482559512 79353199390 87288519329 95223839268 119029799085 158706398780 174577038658 190447678536 238059598170 261865557987 317412797560 349154077316 436442596645 476119196340 523731115974 698308154632 872885193290 952238392680 1047462231948 1309327789935 1745770386580 2094924463896 2618655579870 3491540773160 5237311159740 10474622319480