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19140117750 = 234531372707
BaseRepresentation
bin10001110100110101…
…110000010011110110
31211101220111201120000
4101310311300103312
5303144332232000
612443131052130
71245211213365
oct216465602366
954356451500
1019140117750
118132108836
123861ba1046
131a604b9580
14cd800d7dc
15770516000
hex474d704f6

19140117750 has 160 divisors (see below), whose sum is σ = 57642320736. Its totient is φ = 4711348800.

The previous prime is 19140117727. The next prime is 19140117779. The reversal of 19140117750 is 5771104191.

19140117750 is a `hidden beast` number, since 191 + 401 + 17 + 7 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 226897 + ... + 299603.

Almost surely, 219140117750 is an apocalyptic number.

19140117750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19140117750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28821160368).

19140117750 is an abundant number, since it is smaller than the sum of its proper divisors (38502202986).

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

19140117750 is a wasteful number, since it uses less digits than its factorization.

19140117750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72749 (or 72730 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 19140117750 in words is "nineteen billion, one hundred forty million, one hundred seventeen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 125 130 135 150 162 195 225 234 250 270 325 351 375 390 405 450 585 650 675 702 750 810 975 1053 1125 1170 1350 1625 1755 1950 2025 2106 2250 2925 3250 3375 3510 4050 4875 5265 5850 6750 8775 9750 10125 10530 14625 17550 20250 26325 29250 43875 52650 72707 87750 131625 145414 218121 263250 363535 436242 654363 727070 945191 1090605 1308726 1817675 1890382 1963089 2181210 2835573 3271815 3635350 3926178 4725955 5453025 5671146 5889267 6543630 8506719 9088375 9451910 9815445 10906050 11778534 14177865 16359075 17013438 18176750 19630890 23629775 25520157 27265125 28355730 29446335 32718150 42533595 47259550 49077225 51040314 54530250 58892670 70889325 76560471 81795375 85067190 98154450 118148875 127600785 141778650 147231675 153120942 163590750 212667975 236297750 245386125 255201570 294463350 354446625 382802355 425335950 490772250 638003925 708893250 736158375 765604710 1063339875 1276007850 1472316750 1914011775 2126679750 3190019625 3828023550 6380039250 9570058875 19140117750