Search a number
-
+
134692136064 = 2733291343911
BaseRepresentation
bin111110101110001000…
…1101110010010000000
3110212122221000110021000
41331130101232102000
54201322141323224
6141513211532000
712505540160223
oct1753421562200
9425587013230
10134692136064
1152139221432
122213015a000
13c9170110c5
14673a70b5ba
153784c560c9
hex1f5c46e480

134692136064 has 128 divisors (see below), whose sum is σ = 411237072000. Its totient is φ = 43349160960.

The previous prime is 134692136057. The next prime is 134692136071. The reversal of 134692136064 is 460631296431.

134692136064 is a `hidden beast` number, since 1 + 34 + 6 + 9 + 2 + 1 + 3 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134692136057) and next prime (134692136071).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571732 + ... + 772179.

It is an arithmetic number, because the mean of its divisors is an integer number (3212789625).

Almost surely, 2134692136064 is an apocalyptic number.

It is an amenable number.

134692136064 is an abundant number, since it is smaller than the sum of its proper divisors (276544935936).

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

134692136064 is a wasteful number, since it uses less digits than its factorization.

134692136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343963 (or 1343945 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 134692136064 in words is "one hundred thirty-four billion, six hundred ninety-two million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3456 3712 4176 5568 6264 8352 11136 12528 16704 25056 33408 50112 100224 1343911 2687822 4031733 5375644 8063466 10751288 12095199 16126932 21502576 24190398 32253864 36285597 38973419 43005152 48380796 64507728 72571194 77946838 86010304 96761592 116920257 129015456 145142388 155893676 172020608 193523184 233840514 258030912 290284776 311787352 350760771 387046368 467681028 516061824 580569552 623574704 701521542 774092736 935362056 1052282313 1161139104 1247149408 1403043084 1548185472 1870724112 2104564626 2322278208 2494298816 2806086168 3741448224 4209129252 4644556416 4988597632 5612172336 7482896448 8418258504 11224344672 14965792896 16836517008 22448689344 33673034016 44897378688 67346068032 134692136064