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10207769088 = 2931134993
BaseRepresentation
bin10011000000110111…
…00011001000000000
3222100101201101201210
421200123203020000
5131401142102323
64404523530120
7510646414506
oct114033431000
928311641653
1010207769088
114369024000
121b8a689940
13c68a64a6a
146cb9a8676
153eb24e293
hex2606e3200

10207769088 has 160 divisors (see below), whose sum is σ = 29917495872. Its totient is φ = 3092643840.

The previous prime is 10207769083. The next prime is 10207769113. The reversal of 10207769088 is 88096770201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10207769083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2041920 + ... + 2046912.

Almost surely, 210207769088 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 10207769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958747936).

10207769088 is an abundant number, since it is smaller than the sum of its proper divisors (19709726784).

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

10207769088 is an frugal number, since it uses more digits than its factorization.

10207769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 10207769088 in words is "ten billion, two hundred seven million, seven hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1331 1408 1452 1536 1936 2112 2662 2816 2904 3872 3993 4224 4993 5324 5632 5808 7744 7986 8448 9986 10648 11616 14979 15488 15972 16896 19972 21296 23232 29958 30976 31944 39944 42592 46464 54923 59916 61952 63888 79888 85184 92928 109846 119832 127776 159776 164769 170368 185856 219692 239664 255552 319552 329538 340736 439384 479328 511104 604153 639104 659076 681472 878768 958656 1022208 1208306 1278208 1318152 1757536 1812459 1917312 2044416 2416612 2556416 2636304 3515072 3624918 3834624 4833224 5272608 6645683 7030144 7249836 7669248 9666448 10545216 13291366 14060288 14499672 19332896 19937049 21090432 26582732 28120576 28999344 38665792 39874098 42180864 53165464 57998688 77331584 79748196 84361728 106330928 115997376 154663168 159496392 212661856 231994752 309326336 318992784 425323712 463989504 637985568 850647424 927979008 1275971136 1701294848 2551942272 3402589696 5103884544 10207769088