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1052661460004 = 2271113731778697
BaseRepresentation
bin11110101000101111000…
…00110010110000100100
310201122002210020202212122
433110113200302300210
5114221322313210004
62123330324205112
7136023634530260
oct17242740626044
93648083222778
101052661460004
11376481a51270
1215001a239798
137835b549b6b
1438d404170a0
151c5aeacbcbe
hexf517832c24

1052661460004 has 96 divisors (see below), whose sum is σ = 2320807797504. Its totient is φ = 405844715520.

The previous prime is 1052661459989. The next prime is 1052661460013. The reversal of 1052661460004 is 4000641662501.

It is a super-2 number, since 2×10526614600042 (a number of 25 digits) contains 22 as substring.

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, 13336784 + ... + 13415480.

It is an arithmetic number, because the mean of its divisors is an integer number (24175081224).

Almost surely, 21052661460004 is an apocalyptic number.

1052661460004 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 1052661460004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160403898752).

1052661460004 is an abundant number, since it is smaller than the sum of its proper divisors (1268146337500).

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

1052661460004 is a wasteful number, since it uses less digits than its factorization.

1052661460004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79173 (or 79171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 1052661460004 in words is "one trillion, fifty-two billion, six hundred sixty-one million, four hundred sixty thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 137 154 274 308 317 548 634 959 1268 1507 1918 2219 3014 3487 3836 4438 6028 6974 8876 10549 13948 21098 24409 42196 43429 48818 78697 86858 97636 157394 173716 304003 314788 477719 550879 608006 865667 955438 1101758 1216012 1731334 1910876 2203516 3344033 3462668 6059669 6688066 10781489 12119338 13376132 21562978 24238676 24946949 43125956 49893898 75470423 99787796 118596379 150940846 174628643 237192758 274416439 301881692 349257286 474385516 548832878 698514572 830174653 1097665756 1660349306 1920915073 3320698612 3417732013 3841830146 6835464026 7683660292 13670928052 23924124091 37595052143 47848248182 75190104286 95696496364 150380208572 263165365001 526330730002 1052661460004