Search a number
-
+
1312146505062 = 233478911351407
BaseRepresentation
bin10011000110000010000…
…001101011110101100110
311122102212202010211202000
4103012002001223311212
5132444234001130222
62442443005230130
7163541133160521
oct23060201536546
94572782124660
101312146505062
11466529549228
12192377262346
1396972706143
1447718821bb8
15241ea4849ac
hex1318206bd66

1312146505062 has 128 divisors (see below), whose sum is σ = 3038089420800. Its totient is φ = 419512439808.

The previous prime is 1312146505051. The next prime is 1312146505073. The reversal of 1312146505062 is 2605056412131.

1312146505062 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 146 + 5 + 0 + 506 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1312146505051) and next prime (1312146505073).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25498963 + ... + 25550369.

It is an arithmetic number, because the mean of its divisors is an integer number (23735073600).

Almost surely, 21312146505062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312146505062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519044710400).

1312146505062 is an abundant number, since it is smaller than the sum of its proper divisors (1725942915738).

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

1312146505062 is a wasteful number, since it uses less digits than its factorization.

1312146505062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51667 (or 51661 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1312146505062 in words is "one trillion, three hundred twelve billion, one hundred forty-six million, five hundred five thousand, sixty-two".

Divisors: 1 2 3 6 9 18 27 47 54 89 94 113 141 178 226 267 282 339 423 534 678 801 846 1017 1269 1602 2034 2403 2538 3051 4183 4806 5311 6102 8366 10057 10622 12549 15933 20114 25098 30171 31866 37647 47799 51407 60342 75294 90513 95598 102814 112941 143397 154221 181026 225882 271539 286794 308442 462663 472679 543078 925326 945358 1387989 1418037 2416129 2775978 2836074 4254111 4575223 4832258 5808991 7248387 8508222 9150446 11617982 12762333 13725669 14496774 17426973 21745161 25524666 27451338 34853946 41177007 43490322 52280919 65235483 82354014 104561838 123531021 130470966 156842757 215035481 247062042 273022577 313685514 430070962 517000199 546045154 645106443 819067731 1034000398 1290212886 1551000597 1638135462 1935319329 2457203193 3102001194 3870638658 4653001791 4914406386 5805957987 7371609579 9306003582 11611915974 13959005373 14743219158 24299009353 27918010746 48598018706 72897028059 145794056118 218691084177 437382168354 656073252531 1312146505062