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21339430851552 = 2531153381279139
BaseRepresentation
bin1001101101000011110010…
…01100100001001111100000
32210120000210121220202111020
410312201321030201033200
510244111123244222202
6113215111005445440
74331502663301212
oct466417114411740
983500717822436
1021339430851552
116888002441650
122487884270880
13bba3b85775a8
1453ab9657c5b2
1527014a81b5bc
hex1368793213e0

21339430851552 has 96 divisors (see below), whose sum is σ = 62261358445440. Its totient is φ = 6344484856320.

The previous prime is 21339430851547. The next prime is 21339430851623. The reversal of 21339430851552 is 25515803493312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21339430851495 and 21339430851504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190583602 + ... + 190695537.

It is an arithmetic number, because the mean of its divisors is an integer number (648555817140).

Almost surely, 221339430851552 is an apocalyptic number.

21339430851552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21339430851552 is an abundant number, since it is smaller than the sum of its proper divisors (40921927593888).

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

21339430851552 is a wasteful number, since it uses less digits than its factorization.

21339430851552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381279216 (or 381279208 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 21339430851552 in words is "twenty-one trillion, three hundred thirty-nine billion, four hundred thirty million, eight hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 18656 27984 55968 381279139 762558278 1143837417 1525116556 2287674834 3050233112 4194070529 4575349668 6100466224 8388141058 9150699336 12200932448 12582211587 16776282116 18301398672 20207794367 25164423174 33552564232 36602797344 40415588734 50328846348 60623383101 67105128464 80831177468 100657692696 121246766202 134210256928 161662354936 201315385392 222285738037 242493532404 323324709872 402630770784 444571476074 484987064808 646649419744 666857214111 889142952148 969974129616 1333714428222 1778285904296 1939948259232 2667428856444 3556571808592 5334857712888 7113143617184 10669715425776 21339430851552