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485901764532 = 2232891491017817
BaseRepresentation
bin1110001001000100000…
…00001000011110110100
31201110012022220010221100
413010202000020132310
530430111322431112
61011115321050100
750051045565132
oct7044200103664
91643168803840
10485901764532
11178084973528
127a207626930
1336a88395602
1419736a98752
15c98d0982dc
hex71220087b4

485901764532 has 72 divisors (see below), whose sum is σ = 1250389413000. Its totient is φ = 159072427008.

The previous prime is 485901764519. The next prime is 485901764567. The reversal of 485901764532 is 235467109584.

It is a happy number.

485901764532 is a `hidden beast` number, since 4 + 8 + 5 + 90 + 17 + 6 + 4 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43312269456 + 442589495076 = 208116^2 + 665274^2 .

It is a super-2 number, since 2×4859017645322 (a number of 24 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 23 ways as a sum of consecutive naturals, for example, 31513 + ... + 986304.

It is an arithmetic number, because the mean of its divisors is an integer number (17366519625).

It is a 2-persistent number, because it is pandigital, and so is 2⋅485901764532 = 971803529064, but 3⋅485901764532 = 1457705293596 is not.

Almost surely, 2485901764532 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 485901764532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625194706500).

485901764532 is an abundant number, since it is smaller than the sum of its proper divisors (764487648468).

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

485901764532 is a wasteful number, since it uses less digits than its factorization.

485901764532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018065 (or 1018060 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 485901764532 in words is "four hundred eighty-five billion, nine hundred one million, seven hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 149 178 267 298 356 447 534 596 801 894 1068 1341 1602 1788 2682 3204 5364 13261 26522 39783 53044 79566 119349 159132 238698 477396 1017817 2035634 3053451 4071268 6106902 9160353 12213804 18320706 36641412 90585713 151654733 181171426 271757139 303309466 362342852 454964199 543514278 606618932 815271417 909928398 1087028556 1364892597 1630542834 1819856796 2729785194 3261085668 5459570388 13497271237 26994542474 40491813711 53989084948 80983627422 121475441133 161967254844 242950882266 485901764532