Search a number
-
+
137718070448 = 24741149201281
BaseRepresentation
bin1000000001000010100…
…0101111110010110000
3111011110210211211212212
42000100220233302300
54224021311223243
6143133344111252
712643532166320
oct2002050576260
9434423754785
10137718070448
1153451295752
1222835605528
13cca9ba5c1a
146946545280
1538b071e318
hex2010a2fcb0

137718070448 has 80 divisors (see below), whose sum is σ = 314482996800. Its totient is φ = 57195724800.

The previous prime is 137718070429. The next prime is 137718070453. The reversal of 137718070448 is 844070817731.

It is a junction number, because it is equal to n+sod(n) for n = 137718070396 and 137718070405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583568 + ... + 784848.

It is an arithmetic number, because the mean of its divisors is an integer number (3931037460).

Almost surely, 2137718070448 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 137718070448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157241498400).

137718070448 is an abundant number, since it is smaller than the sum of its proper divisors (176764926352).

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

137718070448 is a wasteful number, since it uses less digits than its factorization.

137718070448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201486 (or 201480 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 50.

The spelling of 137718070448 in words is "one hundred thirty-seven billion, seven hundred eighteen million, seventy thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 149 164 287 298 328 574 596 656 1043 1148 1192 2086 2296 2384 4172 4592 6109 8344 12218 16688 24436 42763 48872 85526 97744 171052 201281 342104 402562 684208 805124 1408967 1610248 2817934 3220496 5635868 8252521 11271736 16505042 22543472 29990869 33010084 57767647 59981738 66020168 115535294 119963476 132040336 209936083 231070588 239926952 419872166 462141176 479853904 839744332 924282352 1229625629 1679488664 2459251258 3358977328 4918502516 8607379403 9837005032 17214758806 19674010064 34429517612 68859035224 137718070448