Search a number
-
+
60929129472 = 210319254941
BaseRepresentation
bin111000101111101010…
…001011110000000000
312211021020220110202220
4320233222023300000
51444240324120342
643553534411040
74254611024661
oct705752136000
9184236813686
1060929129472
11239269a5862
12b985060a80
1359900b2543
142d40033368
1518b90d55ec
hexe2fa8bc00

60929129472 has 132 divisors (see below), whose sum is σ = 171398601576. Its totient is φ = 19240427520.

The previous prime is 60929129447. The next prime is 60929129509. The reversal of 60929129472 is 27492192906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1081522 + ... + 1136462.

Almost surely, 260929129472 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 60929129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85699300788).

60929129472 is an abundant number, since it is smaller than the sum of its proper divisors (110469472104).

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

60929129472 is a wasteful number, since it uses less digits than its factorization.

60929129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55002 (or 54965 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 60929129472 in words is "sixty billion, nine hundred twenty-nine million, one hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1024 1083 1216 1444 1536 1824 2166 2432 2888 3072 3648 4332 4864 5776 7296 8664 9728 11552 14592 17328 19456 23104 29184 34656 46208 54941 58368 69312 92416 109882 138624 164823 184832 219764 277248 329646 369664 439528 554496 659292 879056 1043879 1108992 1318584 1758112 2087758 2637168 3131637 3516224 4175516 5274336 6263274 7032448 8351032 10548672 12526548 14064896 16702064 19833701 21097344 25053096 28129792 33404128 39667402 42194688 50106192 56259584 59501103 66808256 79334804 84389376 100212384 119002206 133616512 158669608 168778752 200424768 238004412 267233024 317339216 400849536 476008824 534466048 634678432 801699072 952017648 1068932096 1269356864 1603398144 1904035296 2538713728 3206796288 3808070592 5077427456 7616141184 10154854912 15232282368 20309709824 30464564736 60929129472