Search a number
-
+
39978694368 = 253517302429
BaseRepresentation
bin100101001110111010…
…100111011011100000
310211012011222002200000
4211032322213123200
51123334021204433
630211014100000
72613465203154
oct451672473340
9124164862600
1039978694368
1115a55a26888
1278b894a600
133a01832a92
141d13823064
15108ebc9113
hex94eea76e0

39978694368 has 144 divisors (see below), whose sum is σ = 124835845680. Its totient is φ = 12542294016.

The previous prime is 39978694339. The next prime is 39978694391. The reversal of 39978694368 is 86349687993.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39978694296 and 39978694305.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19023 + ... + 283406.

It is an arithmetic number, because the mean of its divisors is an integer number (866915595).

Almost surely, 239978694368 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 39978694368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62417922840).

39978694368 is an abundant number, since it is smaller than the sum of its proper divisors (84857151312).

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

39978694368 is a wasteful number, since it uses less digits than its factorization.

39978694368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302471 (or 302451 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 39978694368 in words is "thirty-nine billion, nine hundred seventy-eight million, six hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1224 1296 1377 1632 1836 1944 2448 2592 2754 3672 3888 4131 4896 5508 7344 7776 8262 11016 14688 16524 22032 33048 44064 66096 132192 302429 604858 907287 1209716 1814574 2419432 2721861 3629148 4838864 5141293 5443722 7258296 8165583 9677728 10282586 10887444 14516592 15423879 16331166 20565172 21774888 24496749 29033184 30847758 32662332 41130344 43549776 46271637 48993498 61695516 65324664 73490247 82260688 87099552 92543274 97986996 123391032 130649328 138814911 146980494 164521376 185086548 195973992 246782064 261298656 277629822 293960988 370173096 391947984 416444733 493564128 555259644 587921976 740346192 783895968 832889466 1110519288 1175843952 1249334199 1480692384 1665778932 2221038576 2351687904 2498668398 3331557864 4442077152 4997336796 6663115728 9994673592 13326231456 19989347184 39978694368