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1365006819630 = 2354722913733079
BaseRepresentation
bin10011110111010000101…
…111110010000100101110
311211111022200011001022110
4103313100233302010232
5134331013221212010
62523024145224450
7200422066346016
oct23672057620456
94744280131273
101365006819630
11486994844a13
121a066a032126
139b947c3029c
144a0d0d96c46
1525790eca120
hex13dd0bf212e

1365006819630 has 128 divisors (see below), whose sum is σ = 3363868569600. Its totient is φ = 354327934464.

The previous prime is 1365006819611. The next prime is 1365006819637. The reversal of 1365006819630 is 369186005631.

It is a self number, because there is not a number n which added to its sum of digits gives 1365006819630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365006819637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443326431 + ... + 443329509.

It is an arithmetic number, because the mean of its divisors is an integer number (26280223200).

Almost surely, 21365006819630 is an apocalyptic number.

1365006819630 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 1365006819630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681934284800).

1365006819630 is an abundant number, since it is smaller than the sum of its proper divisors (1998861749970).

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

1365006819630 is a wasteful number, since it uses less digits than its factorization.

1365006819630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738.

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 1365006819630 in words is "one trillion, three hundred sixty-five billion, six million, eight hundred nineteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 229 235 282 458 470 687 705 1145 1373 1374 1410 2290 2746 3079 3435 4119 6158 6865 6870 8238 9237 10763 13730 15395 18474 20595 21526 30790 32289 41190 46185 53815 64531 64578 92370 107630 129062 144713 161445 193593 289426 314417 322655 322890 387186 434139 628834 645310 705091 723565 868278 943251 967965 1410182 1447130 1572085 1886502 1935930 2115273 2170695 3144170 3525455 4227467 4230546 4341390 4716255 7050910 8454934 9432510 10576365 12682401 14777599 21137335 21152730 25364802 29555198 33139277 42274670 44332797 63412005 66278554 73887995 88665594 99417831 126824010 147775990 165696385 198690949 198835662 221663985 331392770 397381898 443327970 497089155 596072847 968089943 993454745 994178310 1192145694 1936179886 1986909490 2904269829 2980364235 4840449715 5808539658 5960728470 9680899430 14521349145 29042698290 45500227321 91000454642 136500681963 227501136605 273001363926 455002273210 682503409815 1365006819630