Search a number
-
+
39195382272 = 293372832437
BaseRepresentation
bin100100100000001110…
…100001001000000000
310202011121000201110220
4210200032201020000
51120233004213042
630001153023040
72555204152344
oct444016411000
9122147021426
1039195382272
1115693853912
12771a554a80
1339084738b7
141c7b79d624
15104604b8ec
hex9203a1200

39195382272 has 160 divisors (see below), whose sum is σ = 107664186432. Its totient is φ = 12661899264.

The previous prime is 39195382229. The next prime is 39195382337. The reversal of 39195382272 is 27228359193.

It is a happy number.

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, 16082238 + ... + 16084674.

Almost surely, 239195382272 is an apocalyptic number.

39195382272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39195382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53832093216).

39195382272 is an abundant number, since it is smaller than the sum of its proper divisors (68468804160).

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

39195382272 is a wasteful number, since it uses less digits than its factorization.

39195382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2762 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The spelling of 39195382272 in words is "thirty-nine billion, one hundred ninety-five million, three hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 283 296 384 444 512 566 592 768 849 888 1132 1184 1536 1698 1776 2264 2368 2437 3396 3552 4528 4736 4874 6792 7104 7311 9056 9472 9748 10471 13584 14208 14622 18112 18944 19496 20942 27168 28416 29244 31413 36224 38992 41884 54336 56832 58488 62826 72448 77984 83768 90169 108672 116976 125652 144896 155968 167536 180338 217344 233952 251304 270507 311936 335072 360676 434688 467904 502608 541014 623872 670144 689671 721352 935808 1005216 1082028 1247744 1340288 1379342 1442704 1871616 2010432 2069013 2164056 2680576 2758684 2885408 3743232 4020864 4138026 4328112 5361152 5517368 5770816 8041728 8276052 8656224 11034736 11541632 16083456 16552104 17312448 22069472 23083264 25517827 33104208 34624896 44138944 46166528 51035654 66208416 69249792 76553481 88277888 102071308 132416832 138499584 153106962 176555776 204142616 264833664 306213924 353111552 408285232 529667328 612427848 816570464 1059334656 1224855696 1633140928 2449711392 3266281856 4899422784 6532563712 9798845568 13065127424 19597691136 39195382272