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136934682246 = 23337213612
BaseRepresentation
bin111111110000111110…
…0010110111010000110
3111002110012202121022000
41333201330112322012
54220420234312441
6142523521250130
712615240410565
oct1774174267206
9432405677260
10136934682246
115308a07058a
1222657193946
13cbb37bb1cb
1468b04a1bdc
153866a792b6
hex1fe1f16e86

136934682246 has 72 divisors (see below), whose sum is σ = 312975837720. Its totient is φ = 44378616960.

The previous prime is 136934682217. The next prime is 136934682271. The reversal of 136934682246 is 642286439631.

136934682246 is a `hidden beast` number, since 1 + 36 + 93 + 468 + 22 + 46 = 666.

It is a super-2 number, since 2×1369346822462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 136934682192 and 136934682201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100612606 + ... + 100613966.

It is an arithmetic number, because the mean of its divisors is an integer number (4346886635).

Almost surely, 2136934682246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136934682246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156487918860).

136934682246 is an abundant number, since it is smaller than the sum of its proper divisors (176041155474).

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

136934682246 is an frugal number, since it uses more digits than its factorization.

136934682246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 1403 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

Multiplying 136934682246 by its sum of digits (54), we get a square (7394472841284 = 27192782).

136934682246 divided by its sum of digits (54) gives a square (2535827449 = 503572).

The spelling of 136934682246 in words is "one hundred thirty-six billion, nine hundred thirty-four million, six hundred eighty-two thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1361 1369 1998 2722 2738 4083 4107 8166 8214 12249 12321 24498 24642 36747 36963 50357 73494 73926 100714 151071 302142 453213 906426 1359639 1852321 1863209 2719278 3704642 3726418 5556963 5589627 11113926 11179254 16670889 16768881 33341778 33537762 50012667 50306643 68535877 100025334 100613286 137071754 205607631 411215262 616822893 1233645786 1850468679 2535827449 3700937358 5071654898 7607482347 15214964694 22822447041 45644894082 68467341123 136934682246