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85490956224 = 263416491311
BaseRepresentation
bin100111110011110101…
…0000111011111000000
322011200000022112220000
41033213222013133000
52400041141044344
6103135103520000
76114355065222
oct1174752073700
9264600275800
1085490956224
1133290463833
121469a8b9000
1380a590023b
1441d011a412
1523555a3a69
hex13e7a877c0

85490956224 has 70 divisors (see below), whose sum is σ = 253421991504. Its totient is φ = 28496983680.

The previous prime is 85490956217. The next prime is 85490956241. The reversal of 85490956224 is 42265909458.

85490956224 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 0 + 9 + 5 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8240472 + ... + 8250839.

Almost surely, 285490956224 is an apocalyptic number.

It is an amenable number.

85490956224 is an abundant number, since it is smaller than the sum of its proper divisors (167931035280).

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

85490956224 is a wasteful number, since it uses less digits than its factorization.

85490956224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16491335 (or 16491316 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 85490956224 in words is "eighty-five billion, four hundred ninety million, nine hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 16491311 32982622 49473933 65965244 98947866 131930488 148421799 197895732 263860976 296843598 395791464 445265397 527721952 593687196 791582928 890530794 1055443904 1187374392 1335796191 1583165856 1781061588 2374748784 2671592382 3166331712 3562123176 4749497568 5343184764 7124246352 9498995136 10686369528 14248492704 21372739056 28496985408 42745478112 85490956224