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10524012425440 = 255674312277767
BaseRepresentation
bin1001100100100101000000…
…0001011011000011100000
31101021002022112001120021021
42121021100001123003200
52334411134140103230
634214355313535224
72134222560435133
oct231112001330340
941232275046237
1010524012425440
113398232721118
12121b75a574514
135b4544033157
142855174a421a
15133b48bbdc7a
hex9925005b0e0

10524012425440 has 96 divisors (see below), whose sum is σ = 25292627426304. Its totient is φ = 4137151941120.

The previous prime is 10524012425419. The next prime is 10524012425453. The reversal of 10524012425440 is 4452421042501.

It is a super-2 number, since 2×105240124254402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10524012425396 and 10524012425405.

It is a congruent number.

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, 3481437 + ... + 5759203.

It is an arithmetic number, because the mean of its divisors is an integer number (263464869024).

Almost surely, 210524012425440 is an apocalyptic number.

10524012425440 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 10524012425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646313713152).

10524012425440 is an abundant number, since it is smaller than the sum of its proper divisors (14768615000864).

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

10524012425440 is a wasteful number, since it uses less digits than its factorization.

10524012425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278280 (or 2278272 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 10524012425440 its reverse (4452421042501), we get a palindrome (14976433467941).

The spelling of 10524012425440 in words is "ten trillion, five hundred twenty-four billion, twelve million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 431 536 670 862 1072 1340 1724 2144 2155 2680 3448 4310 5360 6896 8620 10720 13792 17240 28877 34480 57754 68960 115508 144385 231016 288770 462032 577540 924064 1155080 2277767 2310160 4555534 4620320 9111068 11388835 18222136 22777670 36444272 45555340 72888544 91110680 152610389 182221360 305220778 364442720 610441556 763051945 981717577 1220883112 1526103890 1963435154 2441766224 3052207780 3926870308 4883532448 4908587885 6104415560 7853740616 9817175770 12208831120 15707481232 19634351540 24417662240 31414962464 39268703080 65775077659 78537406160 131550155318 157074812320 263100310636 328875388295 526200621272 657750776590 1052401242544 1315501553180 2104802485088 2631003106360 5262006212720 10524012425440