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34650957432 = 23371333147933
BaseRepresentation
bin100000010001010110…
…111010011001111000
310022102212220000112210
4200101112322121320
51031431121114212
623530214135120
72334453164340
oct402126723170
9108385800483
1034650957432
1113771620203
1268706514a0
133362b14510
14196a00bd20
15d7c0d553c
hex8115ba678

34650957432 has 128 divisors (see below), whose sum is σ = 106942671360. Its totient is φ = 9110914560.

The previous prime is 34650957409. The next prime is 34650957469. The reversal of 34650957432 is 23475905643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698938 + ... + 746870.

It is an arithmetic number, because the mean of its divisors is an integer number (835489620).

Almost surely, 234650957432 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 34650957432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53471335680).

34650957432 is an abundant number, since it is smaller than the sum of its proper divisors (72291713928).

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

34650957432 is a wasteful number, since it uses less digits than its factorization.

34650957432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48293 (or 48289 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 34650957432 in words is "thirty-four billion, six hundred fifty million, nine hundred fifty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 331 364 546 662 728 993 1092 1324 1986 2184 2317 2648 3972 4303 4634 6951 7944 8606 9268 12909 13902 17212 18536 25818 27804 30121 34424 47933 51636 55608 60242 90363 95866 103272 120484 143799 180726 191732 240968 287598 335531 361452 383464 575196 623129 671062 722904 1006593 1150392 1246258 1342124 1869387 2013186 2492516 2684248 3738774 4026372 4361903 4985032 7477548 8052744 8723806 13085709 14955096 15865823 17447612 26171418 31731646 34895224 47597469 52342836 63463292 95194938 104685672 111060761 126926584 190389876 206255699 222121522 333182283 380779752 412511398 444243044 618767097 666364566 825022796 888486088 1237534194 1332729132 1443789893 1650045592 2475068388 2665458264 2887579786 4331369679 4950136776 5775159572 8662739358 11550319144 17325478716 34650957432