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21070653370400 = 2552101260775413
BaseRepresentation
bin1001100101001111001001…
…10011110011000000100000
32202121100001001200000201002
410302213210303303000200
510230210144230323100
6112451420255331132
74303206301352354
oct462474463630040
982540031600632
1021070653370400
116794017575937
122443773220aa8
13b9ac5318b00a
1452bb79d97464
1526816926e2d5
hex1329e4cf3020

21070653370400 has 72 divisors (see below), whose sum is σ = 51948027121284. Its totient is φ = 8344813184000.

The previous prime is 21070653370397. The next prime is 21070653370411. The reversal of 21070653370400 is 407335607012.

It can be written as a sum of positive squares in 6 ways, for example, as 12389639691664 + 8681013678736 = 3519892^2 + 2946356^2 .

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 11 ways as a sum of consecutive naturals, for example, 130306907 + ... + 130468506.

Almost surely, 221070653370400 is an apocalyptic number.

21070653370400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21070653370400 is an abundant number, since it is smaller than the sum of its proper divisors (30877373750884).

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

21070653370400 is a wasteful number, since it uses less digits than its factorization.

21070653370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260775534 (or 260775521 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

Adding to 21070653370400 its reverse (407335607012), we get a palindrome (21477988977412).

The spelling of 21070653370400 in words is "twenty-one trillion, seventy billion, six hundred fifty-three million, three hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1616 2020 2525 3232 4040 5050 8080 10100 16160 20200 40400 80800 260775413 521550826 1043101652 1303877065 2086203304 2607754130 4172406608 5215508260 6519385325 8344813216 10431016520 13038770650 20862033040 26077541300 26338316713 41724066080 52155082600 52676633426 104310165200 105353266852 131691583565 208620330400 210706533704 263383167130 421413067408 526766334260 658457917825 842826134816 1053532668520 1316915835650 2107065337040 2633831671300 4214130674080 5267663342600 10535326685200 21070653370400