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1065067265164 = 2272791131913187
BaseRepresentation
bin11110111111110101111…
…01001011110010001100
310202211010100221222020211
433133322331023302030
5114422224204441124
62133141331452204
7136643234244400
oct17377275136214
93684110858224
101065067265164
11380768783301
12152500a57064
13795877a6386
1439799cab100
151ca88caae94
hexf7faf4bc8c

1065067265164 has 144 divisors (see below), whose sum is σ = 2227343892480. Its totient is φ = 444213020160.

The previous prime is 1065067265107. The next prime is 1065067265179. The reversal of 1065067265164 is 4615627605601.

It is a super-2 number, since 2×10650672651642 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334189579 + ... + 334192765.

It is an arithmetic number, because the mean of its divisors is an integer number (15467665920).

Almost surely, 21065067265164 is an apocalyptic number.

1065067265164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065067265164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113671946240).

1065067265164 is an abundant number, since it is smaller than the sum of its proper divisors (1162276627316).

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

1065067265164 is a wasteful number, since it uses less digits than its factorization.

1065067265164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 1065067265164 in words is "one trillion, sixty-five billion, sixty-seven million, two hundred sixty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 79 98 113 158 191 196 226 316 382 452 553 764 791 1106 1337 1582 2212 2674 3164 3187 3871 5348 5537 6374 7742 8927 9359 11074 12748 15089 15484 17854 18718 21583 22148 22309 30178 35708 37436 43166 44618 60356 62489 86332 89236 105623 124978 151081 156163 211246 249956 251773 302162 312326 360131 422492 437423 503546 604324 608717 624652 720262 739361 874846 1007092 1057567 1217434 1440524 1478722 1705057 1749692 1762411 2115134 2434868 2520917 2957444 3410114 3524822 4230268 4261019 5041834 6820228 7049644 8522038 10083668 11935399 12336877 17044076 17646419 23870798 24673754 28450349 29827133 35292838 47741596 48088643 49347508 56900698 59654266 68785021 70585676 83547793 96177286 113801396 119308532 137570042 167095586 192354572 199152443 275140084 334191172 336620501 398304886 481495147 673241002 796609772 962990294 1346482004 1394067101 1925980588 2356343507 2788134202 3370466029 4712687014 5434016659 5576268404 6740932058 9425374028 10868033318 13481864116 21736066636 38038116613 76076233226 152152466452 266266816291 532533632582 1065067265164