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969090919808 = 27111753763901
BaseRepresentation
bin11100001101000100101…
…00011110110110000000
310102122101121112110112012
432012202110132312000
5111334144233413213
62021105541352052
7130004655622424
oct16064224366600
93378347473465
10969090919808
11343a97618520
12137996708628
137050077b08b
1434c9339ab84
151a31ce1a4a8
hexe1a251ed80

969090919808 has 128 divisors (see below), whose sum is σ = 2272088996640. Its totient is φ = 406761472000.

The previous prime is 969090919789. The next prime is 969090919829. The reversal of 969090919808 is 808919090969.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886658 + ... + 1650558.

Almost surely, 2969090919808 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 969090919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136044498320).

969090919808 is an abundant number, since it is smaller than the sum of its proper divisors (1302998076832).

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

969090919808 is a wasteful number, since it uses less digits than its factorization.

969090919808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763996 (or 763984 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 68.

The spelling of 969090919808 in words is "nine hundred sixty-nine billion, ninety million, nine hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 64 68 88 106 128 136 176 187 212 272 352 374 424 544 583 704 748 848 901 1088 1166 1408 1496 1696 1802 2176 2332 2992 3392 3604 4664 5984 6784 7208 9328 9911 11968 14416 18656 19822 23936 28832 37312 39644 57664 74624 79288 115328 158576 317152 634304 763901 1268608 1527802 3055604 6111208 8402911 12222416 12986317 16805822 24444832 25972634 33611644 40486753 48889664 51945268 67223288 80973506 97779328 103890536 134446576 142849487 161947012 207781072 268893152 285698974 323894024 415562144 445354283 537786304 571397948 647788048 688274801 831124288 890708566 1075572608 1142795896 1295576096 1376549602 1662248576 1781417132 2285591792 2591152192 2753099204 3562834264 4571183584 5182304384 5506198408 7125668528 7571022811 9142367168 11012396816 14251337056 15142045622 18284734336 22024793632 28502674112 30284091244 44049587264 57005348224 60568182488 88099174528 121136364976 242272729952 484545459904 969090919808