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21357533978664 = 23313371850098231
BaseRepresentation
bin1001101101100101100000…
…01110011110000000101000
32210121202112021010220022120
410312302300032132000220
510244410212144304124
6113231303214351240
74333013413321362
oct466626016360050
983552467126276
1021357533978664
116894752160a24
12248b296abb520
13bbc011c74b20
1453b9d2971d32
15270859c95d79
hex136cb039e028

21357533978664 has 64 divisors (see below), whose sum is σ = 59055135565440. Its totient is φ = 6393939482880.

The previous prime is 21357533978663. The next prime is 21357533978707. The reversal of 21357533978664 is 46687933575312.

It is a super-2 number, since 2×213575339786642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21357533978663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 925037572 + ... + 925060659.

It is an arithmetic number, because the mean of its divisors is an integer number (922736493210).

Almost surely, 221357533978664 is an apocalyptic number.

21357533978664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21357533978664 is an abundant number, since it is smaller than the sum of its proper divisors (37697601586776).

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

21357533978664 is a wasteful number, since it uses less digits than its factorization.

21357533978664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850098290 (or 1850098286 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 69.

The spelling of 21357533978664 in words is "twenty-one trillion, three hundred fifty-seven billion, five hundred thirty-three million, nine hundred seventy-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 1850098231 3700196462 5550294693 7400392924 11100589386 14800785848 22201178772 24051277003 44402357544 48102554006 68453634547 72153831009 96205108012 136907269094 144307662018 192410216024 205360903641 273814538188 288615324036 410721807282 547629076376 577230648072 821443614564 889897249111 1642887229128 1779794498222 2669691747333 3559588996444 5339383494666 7119177992888 10678766989332 21357533978664