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69969148128 = 25321197227693
BaseRepresentation
bin100000100101001111…
…1000111100011100000
320200121021022000001200
41001022133013203200
52121244100220003
652050545401200
75024620642335
oct1011237074340
9220537260050
1069969148128
112774583a660
1211688639200
1367a0c349c9
14355a8a498c
151c47a696a3
hex104a7c78e0

69969148128 has 144 divisors (see below), whose sum is σ = 219302109936. Its totient is φ = 20984094720.

The previous prime is 69969148127. The next prime is 69969148129. The reversal of 69969148128 is 82184196996.

69969148128 is a `hidden beast` number, since 6 + 99 + 69 + 1 + 481 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (69969148127) and next prime (69969148129).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69969148127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193450 + ... + 421142.

It is an arithmetic number, because the mean of its divisors is an integer number (1522931319).

Almost surely, 269969148128 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 69969148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109651054968).

69969148128 is an abundant number, since it is smaller than the sum of its proper divisors (149332961808).

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

69969148128 is a wasteful number, since it uses less digits than its factorization.

69969148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227817 (or 227806 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 69969148128 in words is "sixty-nine billion, nine hundred sixty-nine million, one hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 97 99 132 144 176 194 198 264 288 291 352 388 396 528 582 776 792 873 1056 1067 1164 1552 1584 1746 2134 2328 3104 3168 3201 3492 4268 4656 6402 6984 8536 9312 9603 12804 13968 17072 19206 25608 27936 34144 38412 51216 76824 102432 153648 227693 307296 455386 683079 910772 1366158 1821544 2049237 2504623 2732316 3643088 4098474 5009246 5464632 7286176 7513869 8196948 10018492 10929264 15027738 16393896 20036984 21858528 22086221 22541607 30055476 32787792 40073968 44172442 45083214 60110952 65575584 66258663 80147936 88344884 90166428 120221904 132517326 176689768 180332856 198775989 240443808 242948431 265034652 353379536 360665712 397551978 485896862 530069304 706759072 721331424 728845293 795103956 971793724 1060138608 1457690586 1590207912 1943587448 2120277216 2186535879 2915381172 3180415824 3887174896 4373071758 5830762344 6360831648 7774349792 8746143516 11661524688 17492287032 23323049376 34984574064 69969148128