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21020978151612 = 22331135039341827
BaseRepresentation
bin1001100011110010100111…
…11011111000000010111100
32202102120211002222110011000
410301321103323320002330
510223401430401322422
6112412523135130300
74266500302100535
oct461712373700274
982376732873130
1021020978151612
116774a4617280a
12243600b073990
13b963677b482a
145295c684b68c
15266c0d180cac
hex131e53ef80bc

21020978151612 has 96 divisors (see below), whose sum is σ = 54992194790400. Its totient is φ = 6943585372416.

The previous prime is 21020978151611. The next prime is 21020978151619. The reversal of 21020978151612 is 21615187902012.

21020978151612 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 9 + 7 + 8 + 1 + 5 + 1 + 612 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020978151611) 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, 61325043 + ... + 61666869.

It is an arithmetic number, because the mean of its divisors is an integer number (572835362400).

Almost surely, 221020978151612 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 21020978151612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27496097395200).

21020978151612 is an abundant number, since it is smaller than the sum of its proper divisors (33971216638788).

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

21020978151612 is a wasteful number, since it uses less digits than its factorization.

21020978151612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346992 (or 346984 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 21020978151612 in words is "twenty-one trillion, twenty billion, nine hundred seventy-eight million, one hundred fifty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 5039 6102 10078 12204 15117 20156 30234 45351 60468 90702 136053 181404 272106 341827 544212 569407 683654 1025481 1138814 1367308 1708221 2050962 2277628 3076443 3416442 4101924 5124663 6152886 6832884 9229329 10249326 12305772 15373989 18458658 20498652 30747978 36917316 38626451 61495956 77252902 115879353 154505804 231758706 347638059 463517412 695276118 1042914177 1390552236 1722466253 2085828354 3444932506 4171656708 5167398759 6889865012 10334797518 15502196277 20669595036 31004392554 46506588831 62008785108 93013177662 186026355324 194638686589 389277373178 583916059767 778554746356 1167832119534 1751748179301 2335664239068 3503496358602 5255244537903 7006992717204 10510489075806 21020978151612