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21261034616352 = 2531372240972139
BaseRepresentation
bin1001101010110001110000…
…11010100111011000100000
32210021112110001120101012120
410311120320122213120200
510241320044330210402
6113115103502224240
74323026154266556
oct465307032473040
983245401511176
1021261034616352
116857832848823
122474645585080
13bb2ba379603b
1453707a7d7bd6
1526d0ad0423bc
hex1356386a7620

21261034616352 has 96 divisors (see below), whose sum is σ = 56220877742400. Its totient is φ = 7034870059008.

The previous prime is 21261034616273. The next prime is 21261034616413. The reversal of 21261034616352 is 25361643016212.

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

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, 294687099 + ... + 294759237.

It is an arithmetic number, because the mean of its divisors is an integer number (585634143150).

Almost surely, 221261034616352 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 21261034616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28110438871200).

21261034616352 is an abundant number, since it is smaller than the sum of its proper divisors (34959843126048).

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

21261034616352 is a wasteful number, since it uses less digits than its factorization.

21261034616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94698 (or 94690 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 21261034616352 in words is "twenty-one trillion, two hundred sixty-one billion, thirty-four million, six hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 13152 22409 44818 67227 72139 89636 134454 144278 179272 216417 268908 288556 358544 432834 537816 577112 717088 865668 1075632 1154224 1731336 2151264 2308448 3070033 3462672 6140066 6925344 9210099 9883043 12280132 18420198 19766086 24560264 29649129 36840396 39532172 49120528 59298258 73680792 79064344 98241056 118596516 147361584 158128688 237193032 294723168 316257376 474386064 948772128 1616562851 3233125702 4849688553 6466251404 9699377106 12932502808 19398754212 25865005616 38797508424 51730011232 77595016848 155190033696 221469110587 442938221174 664407331761 885876442348 1328814663522 1771752884696 2657629327044 3543505769392 5315258654088 7087011538784 10630517308176 21261034616352