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34523421111552 = 283191439536111
BaseRepresentation
bin1111101100110000111000…
…10000000111010100000000
311112020101222120112220200210
413312120130100013110000
514011112431301032202
6201231501332114120
710162143362422032
oct766303420072400
9145211876486623
1034523421111552
111000033421495a
123a56a53a65940
131635710768529
14874d2a2d9c52
153ed077b5ac6c
hex1f661c407500

34523421111552 has 144 divisors (see below), whose sum is σ = 92574276157440. Its totient is φ = 11421458995200.

The previous prime is 34523421111493. The next prime is 34523421111581. The reversal of 34523421111552 is 25511112432543.

It is a self number, because there is not a number n which added to its sum of digits gives 34523421111552.

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, 64127977 + ... + 64664087.

It is an arithmetic number, because the mean of its divisors is an integer number (642876917760).

Almost surely, 234523421111552 is an apocalyptic number.

34523421111552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34523421111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46287138078720).

34523421111552 is an abundant number, since it is smaller than the sum of its proper divisors (58050855045888).

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

34523421111552 is a wasteful number, since it uses less digits than its factorization.

34523421111552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536760 (or 536746 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The spelling of 34523421111552 in words is "thirty-four trillion, five hundred twenty-three billion, four hundred twenty-one million, one hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 439 573 764 768 878 1146 1317 1528 1756 2292 2634 3056 3512 4584 5268 6112 7024 9168 10536 12224 14048 18336 21072 24448 28096 36672 42144 48896 56192 73344 83849 84288 112384 146688 167698 168576 251547 335396 337152 503094 536111 670792 1006188 1072222 1341584 1608333 2012376 2144444 2683168 3216666 4024752 4288888 5366336 6433332 8049504 8577776 10732672 12866664 16099008 17155552 21465344 25733328 32198016 34311104 51466656 64396032 68622208 102397201 102933312 137244416 204794402 205866624 235352729 307191603 409588804 411733248 470705458 614383206 706058187 819177608 941410916 1228766412 1412116374 1638355216 1882821832 2457532824 2824232748 3276710432 3765643664 4915065648 5648465496 6553420864 7531287328 9830131296 11296930992 13106841728 15062574656 19660262592 22593861984 26213683456 30125149312 39320525184 44952371239 45187723968 60250298624 78641050368 89904742478 90375447936 134857113717 179809484956 180750895872 269714227434 359618969912 539428454868 719237939824 1078856909736 1438475879648 2157713819472 2876951759296 4315427638944 5753903518592 8630855277888 11507807037184 17261710555776 34523421111552