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1619309436052 = 22741121393453
BaseRepresentation
bin10111100100000110010…
…111010001110010010100
312201210201110101110120111
4113210012113101302110
5203012321203423202
63235522301012404
7224663666050000
oct27440627216224
95653643343514
101619309436052
11574821a63600
122219bb554104
13b9914516549
1458536db3700
152c1c68e36d7
hex179065d1c94

1619309436052 has 90 divisors (see below), whose sum is σ = 3633753192874. Its totient is φ = 630899327520.

The previous prime is 1619309436013. The next prime is 1619309436061. The reversal of 1619309436052 is 2506349039161.

It can be written as a sum of positive squares in only one way, i.e., 1225683695236 + 393625740816 = 1107106^2 + 627396^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 1619309435987 and 1619309436005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 465358 + ... + 1858810.

Almost surely, 21619309436052 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 1619309436052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816876596437).

1619309436052 is an abundant number, since it is smaller than the sum of its proper divisors (2014443756822).

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

1619309436052 is a wasteful number, since it uses less digits than its factorization.

1619309436052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393507 (or 1393473 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The spelling of 1619309436052 in words is "one trillion, six hundred nineteen billion, three hundred nine million, four hundred thirty-six thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 343 484 539 686 847 1078 1372 1694 2156 2401 3388 3773 4802 5929 7546 9604 11858 15092 23716 26411 41503 52822 83006 105644 166012 290521 581042 1162084 1393453 2786906 5573812 9754171 15327983 19508342 30655966 39016684 61311932 68279197 107295881 136558394 168607813 214591762 273116788 337215626 429183524 477954379 674431252 751071167 955908758 1180254691 1502142334 1911817516 2360509382 3004284668 3345680653 4721018764 5257498169 6691361306 8261782837 10514996338 13382722612 16523565674 21029992676 33047131348 36802487183 57832479859 73604974366 115664959718 147209948732 231329919436 404827359013 809654718026 1619309436052