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67834463328 = 25321985314533
BaseRepresentation
bin111111001011001111…
…111100010001100000
320111002111111210000200
4333023033330101200
52102411110311303
651055051545200
74621000265442
oct771317742140
9214074453020
1067834463328
112684a871345
121119175b200
1365208c16c8
1433d718a492
151b704503a3
hexfcb3fc460

67834463328 has 144 divisors (see below), whose sum is σ = 203309149680. Its totient is φ = 21394824192.

The previous prime is 67834463311. The next prime is 67834463357. The reversal of 67834463328 is 82336443876.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4660350 + ... + 4674882.

It is an arithmetic number, because the mean of its divisors is an integer number (1411869095).

Almost surely, 267834463328 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 67834463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101654574840).

67834463328 is an abundant number, since it is smaller than the sum of its proper divisors (135474686352).

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

67834463328 is a wasteful number, since it uses less digits than its factorization.

67834463328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15421 (or 15410 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 67834463328 in words is "sixty-seven billion, eight hundred thirty-four million, four hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 853 912 1368 1706 1824 2559 2736 3412 5118 5472 6824 7677 10236 13648 14533 15354 16207 20472 27296 29066 30708 32414 40944 43599 48621 58132 61416 64828 81888 87198 97242 116264 122832 129656 130797 145863 174396 194484 232528 245664 259312 261594 276127 291726 348792 388968 465056 518624 523188 552254 583452 697584 777936 828381 1046376 1104508 1166904 1395168 1555872 1656762 2092752 2209016 2333808 2485143 3313524 4185504 4418032 4667616 4970286 6627048 8836064 9940572 12396649 13254096 19881144 24793298 26508192 37189947 39762288 49586596 74379894 79524576 99173192 111569841 148759788 198346384 223139682 235536331 297519576 396692768 446279364 471072662 595039152 706608993 892558728 942145324 1190078304 1413217986 1785117456 1884290648 2119826979 2826435972 3570234912 3768581296 4239653958 5652871944 7537162592 8479307916 11305743888 16958615832 22611487776 33917231664 67834463328