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2913134313192 = 23337101283114773
BaseRepresentation
bin101010011001000100010…
…101011111111011101000
3101022111022100011011201120
4222121010111133323220
5340212044341010232
610110135254215240
7420316120046625
oct52310425377350
911274270134646
102913134313192
11a234a9413574
123b0702954520
1318192718ac1c
14a0dd43a534c
1550b9d63c92c
hex2a64455fee8

2913134313192 has 128 divisors (see below), whose sum is σ = 7580482968960. Its totient is φ = 932132275200.

The previous prime is 2913134313151. The next prime is 2913134313211.

It is a happy number.

2913134313192 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25324318 + ... + 25439090.

It is an arithmetic number, because the mean of its divisors is an integer number (59222523195).

Almost surely, 22913134313192 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 2913134313192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790241484480).

2913134313192 is an abundant number, since it is smaller than the sum of its proper divisors (4667348655768).

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

2913134313192 is a wasteful number, since it uses less digits than its factorization.

2913134313192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115203 (or 115199 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The spelling of 2913134313192 in words is "two trillion, nine hundred thirteen billion, one hundred thirty-four million, three hundred thirteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 283 296 303 404 444 566 606 808 849 888 1132 1212 1698 2264 2424 3396 3737 6792 7474 10471 11211 14948 20942 22422 28583 29896 31413 41884 44844 57166 62826 83768 85749 89688 114332 114773 125652 171498 228664 229546 251304 342996 344319 459092 685992 688638 918184 1057571 1377276 2115142 2754552 3172713 4230284 4246601 6345426 8460568 8493202 11592073 12690852 12739803 16986404 23184146 25381704 25479606 32480759 33972808 34776219 46368292 50959212 64961518 69552438 92736584 97442277 101918424 129923036 139104876 194884554 259846072 278209752 389769108 428906701 779538216 857813402 1201788083 1286720103 1715626804 2403576166 2573440206 3280556659 3431253608 3605364249 4807152332 5146880412 6561113318 7210728498 9614304664 9841669977 10293760824 13122226636 14421456996 19683339954 26244453272 28842913992 39366679908 78733359816 121380596383 242761192766 364141789149 485522385532 728283578298 971044771064 1456567156596 2913134313192