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190140888784 = 2471131518447
BaseRepresentation
bin1011000100010101000…
…1111011011011010000
3200011210020121221110011
42301011101323123100
511103402031420114
6223203255044304
716510603613350
oct2610521733320
9604706557404
10190140888784
1173702636000
1230a25970694
1314c12890762
1492ba954b60
154e2cb461c4
hex2c4547b6d0

190140888784 has 160 divisors (see below), whose sum is σ = 466219302912. Its totient is φ = 73581552000.

The previous prime is 190140888779. The next prime is 190140888787. The reversal of 190140888784 is 487888041091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190140888787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22505649 + ... + 22514095.

Almost surely, 2190140888784 is an apocalyptic number.

190140888784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190140888784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233109651456).

190140888784 is an abundant number, since it is smaller than the sum of its proper divisors (276078414128).

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

190140888784 is a wasteful number, since it uses less digits than its factorization.

190140888784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8646 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 58.

The spelling of 190140888784 in words is "one hundred ninety billion, one hundred forty million, eight hundred eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 151 154 176 242 302 308 484 604 616 847 968 1057 1208 1232 1331 1661 1694 1936 2114 2416 2662 3322 3388 4228 5324 6644 6776 8447 8456 9317 10648 11627 13288 13552 16894 16912 18271 18634 21296 23254 26576 33788 36542 37268 46508 59129 67576 73084 74536 92917 93016 118258 127897 135152 146168 149072 185834 186032 200981 236516 255794 292336 371668 401962 473032 511588 650419 743336 803924 946064 1022087 1023176 1275497 1300838 1406867 1486672 1607848 2044174 2046352 2550994 2601676 2813734 3215696 4088348 5101988 5203352 5627468 7154609 8176696 8928479 10203976 10406704 11242957 11254936 14030467 14309218 16353392 17856958 20407952 22485914 22509872 28060934 28618436 35713916 44971828 56121868 57236872 71427832 78700699 89943656 98213269 112243736 114473744 142855664 154335137 157401398 179887312 196426538 224487472 308670274 314802796 392853076 617340548 629605592 785706152 1080345959 1234681096 1259211184 1571412304 1697686507 2160691918 2469362192 3395373014 4321383836 6790746028 8642767672 11883805549 13581492056 17285535344 23767611098 27162984112 47535222196 95070444392 190140888784