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1070103407576 = 237234723337577
BaseRepresentation
bin11111001001001110010…
…00100010101111011000
310210022010100100111212212
433210213020202233120
5120013032433020301
62135333153454252
7140212105612340
oct17444710425730
93708110314785
101070103407576
11382912526675
12153487571388
1379baac7a9b8
1439b16a99d20
151cc80ea14bb
hexf927222bd8

1070103407576 has 128 divisors (see below), whose sum is σ = 2445058068480. Its totient is φ = 429101730816.

The previous prime is 1070103407557. The next prime is 1070103407627. The reversal of 1070103407576 is 6757043010701.

1070103407576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10701034075762 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141226700 + ... + 141234276.

It is an arithmetic number, because the mean of its divisors is an integer number (19102016160).

Almost surely, 21070103407576 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 1070103407576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222529034240).

1070103407576 is an abundant number, since it is smaller than the sum of its proper divisors (1374954660904).

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

1070103407576 is a wasteful number, since it uses less digits than its factorization.

1070103407576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993 (or 9989 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 41.

The spelling of 1070103407576 in words is "one trillion, seventy billion, one hundred three million, four hundred seven thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 23 28 46 47 56 92 94 161 184 188 322 329 376 644 658 1081 1288 1316 2162 2333 2632 4324 4666 7567 7577 8648 9332 15134 15154 16331 18664 30268 30308 32662 53039 53659 60536 60616 65324 106078 107318 109651 130648 174271 212156 214636 219302 348542 356119 375613 424312 429272 438604 697084 712238 751226 767557 877208 1219897 1394168 1424476 1502452 1535114 2439794 2492833 2521973 2848952 3004904 3070228 4879588 4985666 5043946 6140456 8190737 9759176 9971332 10087892 16381474 17653811 17677141 19942664 20175784 32762948 35307622 35354282 57335159 65525896 70615244 70708564 114670318 123739987 141230488 141417128 229340636 247479974 406574243 458681272 494959948 813148486 830825627 989919896 1626296972 1661651254 2846019701 3252593944 3323302508 5692039402 5815779389 6646605016 11384078804 11631558778 19108989421 22768157608 23263117556 38217978842 46526235112 76435957684 133762925947 152871915368 267525851894 535051703788 1070103407576