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2119687503654 = 2372139172130139
BaseRepresentation
bin11110110110000111001…
…110000111111100100110
321111122021200000000001210
4132312013032013330212
5234212110000104104
64301434311332250
7306066555333300
oct36660716077446
97448250000053
102119687503654
11747a55376866
122a2987081086
13124b68a96a56
14748444cc970
153a210806989
hex1ed87387f26

2119687503654 has 96 divisors (see below), whose sum is σ = 4970047420800. Its totient is φ = 600898677120.

The previous prime is 2119687503653. The next prime is 2119687503701. The reversal of 2119687503654 is 4563057869112.

It is a super-2 number, since 2×21196875036542 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2119687503594 and 2119687503603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119687503653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70315317 + ... + 70345455.

It is an arithmetic number, because the mean of its divisors is an integer number (51771327300).

It is a 1-persistent number, because it is pandigital, but 2⋅2119687503654 = 4239375007308 is not.

Almost surely, 22119687503654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119687503654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485023710400).

2119687503654 is an abundant number, since it is smaller than the sum of its proper divisors (2850359917146).

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

2119687503654 is a wasteful number, since it uses less digits than its factorization.

2119687503654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32018 (or 32011 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 2119687503654 in words is "two trillion, one hundred nineteen billion, six hundred eighty-seven million, five hundred three thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 278 294 417 834 973 1721 1946 2919 3442 5163 5838 6811 10326 12047 13622 20433 24094 30139 36141 40866 60278 72282 84329 90417 168658 180834 210973 239219 252987 421946 478438 505974 632919 717657 1265838 1435314 1476811 1674533 2953622 3349066 4189321 4430433 5023599 8378642 8860866 10047198 11721731 12567963 23443462 25135926 29325247 35165193 51869219 58650494 70330386 87975741 103738438 155607657 175951482 205276729 311215314 363084533 410553458 615830187 726169066 1089253599 1231660374 2178507198 2541591731 5083183462 7209821441 7624775193 14419642882 15249550386 21629464323 43258928646 50468750087 100937500174 151406250261 302812500522 353281250609 706562501218 1059843751827 2119687503654