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1020652726704 = 2431341271147211
BaseRepresentation
bin11101101101000111010…
…01001010100110110000
310121120111001011122102220
432312203221022212300
5113210244044223304
62100514214041040
7133511504014152
oct16664351124660
93546431148386
101020652726704
11363946946176
12145986649180
1375329c705a0
14375852bcad2
151b839967ad9
hexeda3a4a9b0

1020652726704 has 160 divisors (see below), whose sum is σ = 2919517805568. Its totient is φ = 305254656000.

The previous prime is 1020652726703. The next prime is 1020652726727. The reversal of 1020652726704 is 4076272560201.

1020652726704 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 2×10206527267042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020652726703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6859659 + ... + 7006869.

Almost surely, 21020652726704 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 1020652726704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459758902784).

1020652726704 is an abundant number, since it is smaller than the sum of its proper divisors (1898865078864).

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

1020652726704 is a wasteful number, since it uses less digits than its factorization.

1020652726704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147547 (or 147541 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 1020652726704 in words is "one trillion, twenty billion, six hundred fifty-two million, seven hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 271 312 328 492 533 542 624 656 813 984 1066 1084 1599 1626 1968 2132 2168 3198 3252 3523 4264 4336 6396 6504 7046 8528 10569 11111 12792 13008 14092 21138 22222 25584 28184 33333 42276 44444 56368 66666 84552 88888 133332 144443 147211 169104 177776 266664 288886 294422 433329 441633 533328 577772 588844 866658 883266 1155544 1177688 1733316 1766532 1913743 2311088 2355376 3466632 3533064 3827486 5741229 6035651 6933264 7066128 7654972 11482458 12071302 15309944 18106953 22964916 24142604 30619888 36213906 39894181 45929832 48285208 72427812 78463463 79788362 91859664 96570416 119682543 144855624 156926926 159576724 235390389 239365086 289711248 313853852 319153448 470780778 478730172 518624353 627707704 638306896 941561556 957460344 1037248706 1255415408 1555873059 1635661421 1883123112 1914920688 2074497412 3111746118 3271322842 3766246224 4148994824 4906984263 6223492236 6542645684 8297989648 9813968526 12446984472 13085291368 19627937052 21263598473 24893968944 26170582736 39255874104 42527196946 63790795419 78511748208 85054393892 127581590838 170108787784 255163181676 340217575568 510326363352 1020652726704