Search a number
-
+
726525750031552 = 26412811033953851
BaseRepresentation
bin1010010100110001010111010…
…1010000000011010011000000
310112021102011221200122121110201
42211030111311100003103000
51230211344214002002202
611053105153312134544
7306013516240466362
oct24514256520032300
93467364850577421
10726525750031552
111a0547927450909
1269599683837454
13252511131565c3
14cb5a069136d32
1558ed906d68387
hex294c5754034c0

726525750031552 has 112 divisors (see below), whose sum is σ = 1483555005069984. Its totient is φ = 352799354880000.

The previous prime is 726525750031547. The next prime is 726525750031589. The reversal of 726525750031552 is 255130057525627.

It is a junction number, because it is equal to n+sod(n) for n = 726525750031493 and 726525750031502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761199427 + ... + 762153277.

It is an arithmetic number, because the mean of its divisors is an integer number (13246026830982).

Almost surely, 2726525750031552 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 726525750031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741777502534992).

726525750031552 is an abundant number, since it is smaller than the sum of its proper divisors (757029255038432).

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

726525750031552 is a wasteful number, since it uses less digits than its factorization.

726525750031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955218 (or 955208 counting only the distinct ones).

The product of its (nonzero) digits is 22050000, while the sum is 55.

The spelling of 726525750031552 in words is "seven hundred twenty-six trillion, five hundred twenty-five billion, seven hundred fifty million, thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 281 328 562 656 1033 1124 1312 2066 2248 2624 4132 4496 8264 8992 11521 16528 17984 23042 33056 42353 46084 66112 84706 92168 169412 184336 290273 338824 368672 580546 677648 737344 953851 1161092 1355296 1907702 2322184 2710592 3815404 4644368 7630808 9288736 11901193 15261616 18577472 23802386 30523232 39107891 47604772 61046464 78215782 95209544 156431564 190419088 268032131 312863128 380838176 536064262 625726256 761676352 985328083 1072128524 1251452512 1970656166 2144257048 2502905024 3941312332 4288514096 7882624664 8577028192 10989317371 15765249328 17154056384 21978634742 31530498656 40398451403 43957269484 63060997312 80796902806 87914538968 161593805612 175829077936 276877191323 323187611224 351658155872 553754382646 646375222448 703316311744 1107508765292 1292750444896 2215017530584 2585500889792 4430035061168 8860070122336 11351964844243 17720140244672 22703929688486 45407859376972 90815718753944 181631437507888 363262875015776 726525750031552