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3870066864 = 243176771997
BaseRepresentation
bin1110011010101100…
…1000100010110000
3100222201012202200210
43212223020202300
530411214114424
61440004544120
7164622011526
oct34653104260
910881182623
103870066864
111706608574
129000b2040
13498a2a4c1
14289db0316
15179b5b729
hexe6ac88b0

3870066864 has 160 divisors (see below), whose sum is σ = 10906016256. Its totient is φ = 1177989120.

The previous prime is 3870066853. The next prime is 3870066869. The reversal of 3870066864 is 4686600783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3870066869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3881214 + ... + 3882210.

Almost surely, 23870066864 is an apocalyptic number.

3870066864 is a gapful number since it is divisible by the number (34) 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 3870066864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453008128).

3870066864 is an abundant number, since it is smaller than the sum of its proper divisors (7035949392).

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

3870066864 is a wasteful number, since it uses less digits than its factorization.

3870066864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3870066864 is about 62209.8614690629. The cubic root of 3870066864 is about 1570.0235116227.

The spelling of 3870066864 in words is "three billion, eight hundred seventy million, sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 71 102 134 136 142 201 204 213 268 272 284 402 408 426 536 568 804 816 852 997 1072 1136 1139 1207 1608 1704 1994 2278 2414 2991 3216 3408 3417 3621 3988 4556 4757 4828 5982 6834 7242 7976 9112 9514 9656 11964 13668 14271 14484 15952 16949 18224 19028 19312 23928 27336 28542 28968 33898 38056 47856 50847 54672 57084 57936 66799 67796 70787 76112 80869 101694 114168 133598 135592 141574 161738 200397 203388 212361 228336 242607 267196 271184 283148 323476 400794 406776 424722 485214 534392 566296 646952 801588 813552 849444 970428 1068784 1132592 1135583 1203379 1293904 1603176 1698888 1940856 2271166 2406758 3206352 3397776 3406749 3610137 3881712 4542332 4742729 4813516 6813498 7220274 9084664 9485458 9627032 13626996 14228187 14440548 18169328 18970916 19254064 27253992 28456374 28881096 37941832 54507984 56912748 57762192 75883664 80626393 113825496 161252786 227650992 241879179 322505572 483758358 645011144 967516716 1290022288 1935033432 3870066864