Search a number
-
+
39915954912704 = 261353967936097
BaseRepresentation
bin10010001001101101010000…
…10100000011110111000000
312020022221001112021012201112
421010312220110003313000
520212440333424201304
6220521045254222452
711256555400431503
oct1104665024036700
9166287045235645
1039915954912704
111179a296a3a042
124587b90654a28
13193709b3b5c90
149bdd2a41113a
1549348b56db6e
hex244da8503dc0

39915954912704 has 112 divisors (see below), whose sum is σ = 87000588658368. Its totient is φ = 18056438120448.

The previous prime is 39915954912601. The next prime is 39915954912709. The reversal of 39915954912704 is 40721945951993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39915954912709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42172784 + ... + 43108880.

It is an arithmetic number, because the mean of its divisors is an integer number (776790970164).

Almost surely, 239915954912704 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 39915954912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43500294329184).

39915954912704 is an abundant number, since it is smaller than the sum of its proper divisors (47084633745664).

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

39915954912704 is a wasteful number, since it uses less digits than its factorization.

39915954912704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937142 (or 937132 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 68.

The spelling of 39915954912704 in words is "thirty-nine trillion, nine hundred fifteen billion, nine hundred fifty-four million, nine hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 689 832 848 967 1378 1696 1934 2756 3392 3868 5512 7736 11024 12571 15472 22048 25142 30944 44096 50284 51251 61888 100568 102502 201136 205004 402272 410008 666263 804544 820016 936097 1332526 1640032 1872194 2665052 3280064 3744388 5330104 7488776 10660208 12169261 14977552 21320416 24338522 29955104 42640832 48677044 49613141 59910208 97354088 99226282 194708176 198452564 389416352 396905128 644970833 778832704 793810256 905205799 1289941666 1587620512 1810411598 2579883332 3175241024 3620823196 5159766664 7241646392 10319533328 11767675387 14483292784 20639066656 23535350774 28966585568 41278133312 47070701548 47975907347 57933171136 94141403096 95951814694 188282806192 191903629388 376565612384 383807258776 623686795511 753131224768 767614517552 1247373591022 1535229035104 2494747182044 3070458070208 4989494364088 9978988728176 19957977456352 39915954912704