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34055662503534 = 2375367373361169
BaseRepresentation
bin1111011111001001100111…
…01010101000011001101110
311110120200121200012121121020
413233210303222220121232
513430431444100103114
6200232542205515010
710113304031023620
oct757446352503156
9143520550177536
1034055662503534
11a93aa1a721461
1239a0270572a66
1316005871774b9
1485a435094c10
153e0cec7e7aa9
hex1ef933aa866e

34055662503534 has 128 divisors (see below), whose sum is σ = 80516835855360. Its totient is φ = 9401441347584.

The previous prime is 34055662503529. The next prime is 34055662503557. The reversal of 34055662503534 is 43530526655043.

It is a super-2 number, since 2×340556625035342 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556716502 + ... + 556777670.

It is an arithmetic number, because the mean of its divisors is an integer number (629037780120).

Almost surely, 234055662503534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34055662503534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40258417927680).

34055662503534 is an abundant number, since it is smaller than the sum of its proper divisors (46461173351826).

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

34055662503534 is a wasteful number, since it uses less digits than its factorization.

34055662503534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65034.

The product of its (nonzero) digits is 19440000, while the sum is 51.

The spelling of 34055662503534 in words is "thirty-four trillion, fifty-five billion, six hundred sixty-two million, five hundred three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 53 67 106 134 159 201 318 371 402 469 742 938 1113 1407 2226 2814 3551 3733 7102 7466 10653 11199 21306 22398 24857 26131 49714 52262 61169 74571 78393 122338 149142 156786 183507 197849 250111 367014 395698 428183 500222 593547 750333 856366 1187094 1284549 1384943 1500666 1750777 2569098 2769886 3241957 3501554 4098323 4154829 5252331 6483914 8196646 8309658 9725871 10504662 12294969 13255883 19451742 22693699 24589938 26511766 28688261 39767649 45387398 57376522 68081097 79535298 86064783 92791181 136162194 172129566 185582362 217211119 228343877 278373543 434422238 456687754 556747086 651633357 685031631 1303266714 1370063262 1520477833 1598407139 3040955666 3196814278 4561433499 4795221417 9122866998 9590442834 12102225481 15299039759 24204450962 30598079518 36306676443 45897119277 72613352886 84715578367 91794238554 107093278313 169431156734 214186556626 254146735101 321279834939 508293470202 642559669878 810849107227 1621698214454 2432547321681 4865094643362 5675943750589 11351887501178 17027831251767 34055662503534