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525471400100856 = 233114150599596141
BaseRepresentation
bin111011101111010011101100…
…0001001001000001111111000
32112220112120112100121120200010
41313132213120021020033320
51022333310411411211411
65101330121220341520
7215453025102465216
oct16736473011101770
92486476470546603
10525471400100856
11142482195389280
124ab27a648448a0
13197289818a9cb1
1493a8d46b75cb6
1540b3ab4d747a6
hex1dde9d82483f8

525471400100856 has 128 divisors (see below), whose sum is σ = 1468347910444800. Its totient is φ = 155319283584000.

The previous prime is 525471400100749. The next prime is 525471400100869. The reversal of 525471400100856 is 658001004174525.

It is a happy number.

It is a super-2 number, since 2×5254714001008562 (a number of 30 digits) contains 22 as substring.

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, 49960546 + ... + 59556686.

It is an arithmetic number, because the mean of its divisors is an integer number (11471468050350).

Almost surely, 2525471400100856 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 525471400100856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734173955222400).

525471400100856 is an abundant number, since it is smaller than the sum of its proper divisors (942876510343944).

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

525471400100856 is a wasteful number, since it uses less digits than its factorization.

525471400100856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9601261 (or 9601257 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 525471400100856 in words is "five hundred twenty-five trillion, four hundred seventy-one billion, four hundred million, one hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5059 5412 10118 10824 15177 20236 30354 40472 55649 60708 111298 121416 166947 207419 222596 333894 414838 445192 622257 667788 829676 1244514 1335576 1659352 2281609 2489028 4563218 4978056 6844827 9126436 9596141 13689654 18252872 19192282 27379308 28788423 38384564 54758616 57576846 76769128 105557551 115153692 211115102 230307384 316672653 393441781 422230204 633345306 786883562 844460408 1180325343 1266690612 1573767124 2360650686 2533381224 3147534248 4327859591 4721301372 8655719182 9442602744 12983578773 17311438364 25967157546 34622876728 48546877319 51934315092 97093754638 103868630184 145640631957 194187509276 291281263914 388375018552 534015650509 582562527828 1068031301018 1165125055656 1602046951527 1990421970079 2136062602036 3204093903054 3980843940158 4272125204072 5971265910237 6408187806108 7961687880316 11942531820474 12816375612216 15923375760632 21894641670869 23885063640948 43789283341738 47770127281896 65683925012607 87578566683476 131367850025214 175157133366952 262735700050428 525471400100856