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669157148928 = 2831959777251
BaseRepresentation
bin10011011110011001101…
…11111100100100000000
32100222012201020020001110
421233030313330210000
541430413212231203
61231223452003320
766226223626632
oct11571467744400
92328181206043
10669157148928
11238873847134
12a982b460540
134b14159a7c8
142455cd78a52
151261648ed03
hex9bccdfc900

669157148928 has 144 divisors (see below), whose sum is σ = 1906443705600. Its totient is φ = 207730944000.

The previous prime is 669157148917. The next prime is 669157148929. The reversal of 669157148928 is 829841751966.

669157148928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6691571489282 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (669157148929) 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, 472303 + ... + 1249553.

It is an arithmetic number, because the mean of its divisors is an integer number (13239192400).

Almost surely, 2669157148928 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 669157148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953221852800).

669157148928 is an abundant number, since it is smaller than the sum of its proper divisors (1237286556672).

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

669157148928 is a wasteful number, since it uses less digits than its factorization.

669157148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777348 (or 777334 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 66.

The spelling of 669157148928 in words is "six hundred sixty-nine billion, one hundred fifty-seven million, one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 128 152 177 192 228 236 256 304 354 384 456 472 608 708 768 912 944 1121 1216 1416 1824 1888 2242 2432 2832 3363 3648 3776 4484 4864 5664 6726 7296 7552 8968 11328 13452 14592 15104 17936 22656 26904 35872 45312 53808 71744 107616 143488 215232 286976 430464 777251 860928 1554502 2331753 3109004 4663506 6218008 9327012 12436016 14767769 18654024 24872032 29535538 37308048 44303307 45857809 49744064 59071076 74616096 88606614 91715618 99488128 118142152 137573427 149232192 177213228 183431236 198976256 236284304 275146854 298464384 354426456 366862472 472568608 550293708 596928768 708852912 733724944 871298371 945137216 1100587416 1417705824 1467449888 1742596742 1890274432 2201174832 2613895113 2835411648 2934899776 3485193484 3780548864 4402349664 5227790226 5670823296 5869799552 6970386968 8804699328 10455580452 11341646592 11739599104 13940773936 17609398656 20911160904 27881547872 35218797312 41822321808 55763095744 83644643616 111526191488 167289287232 223052382976 334578574464 669157148928