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472525712481472 = 26132946687419477
BaseRepresentation
bin110101101110000100111011…
…1001111010101110011000000
32021222002000110100111211210121
41223130021313033111303000
5443413330124343401342
64352551152054310024
7201346566440311666
oct15334116717256300
92258060410454717
10472525712481472
1112761a035a80991
1244bb6795058314
1317387ca295c660
14849851b9d2c36
153996728c43067
hex1adc2773d5cc0

472525712481472 has 112 divisors (see below), whose sum is σ = 1044641970005760. Its totient is φ = 210563475075072.

The previous prime is 472525712481469. The next prime is 472525712481479. The reversal of 472525712481472 is 274184217525274.

It is a super-2 number, since 2×4725257124814722 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472525712481472.

It is not an unprimeable number, because it can be changed into a prime (472525712481479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126254198 + ... + 1126673674.

It is an arithmetic number, because the mean of its divisors is an integer number (9327160446480).

Almost surely, 2472525712481472 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 472525712481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522320985002880).

472525712481472 is an abundant number, since it is smaller than the sum of its proper divisors (572116257524288).

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

472525712481472 is a wasteful number, since it uses less digits than its factorization.

472525712481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466218 (or 466208 counting only the distinct ones).

The product of its digits is 70246400, while the sum is 61.

The spelling of 472525712481472 in words is "four hundred seventy-two trillion, five hundred twenty-five billion, seven hundred twelve million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 3016 6032 12064 24128 46687 93374 186748 373496 419477 606931 746992 838954 1213862 1353923 1493984 1677908 2427724 2707846 2987968 3355816 4855448 5415692 5453201 6711632 9710896 10831384 10906402 12164833 13423264 17600999 19421792 21662768 21812804 24329666 26846528 35201998 38843584 43325536 43625608 48659332 70403996 86651072 87251216 97318664 140807992 158142829 174502432 194637328 281615984 316285658 349004864 389274656 563231968 632571316 778549312 1126463936 1265142632 2530285264 5060570528 10121141056 19584122699 39168245398 78336490796 156672981592 254593595087 313345963184 509187190174 567939558271 626691926368 1018374380348 1135879116542 1253383852736 2036748760696 2271758233084 4073497521392 4543516466168 7383214257523 8146995042784 9087032932336 14766428515046 16293990085568 18174065864672 29532857030092 36348131729344 59065714060184 118131428120368 236262856240736 472525712481472