Search a number
-
+
151116706120 = 235412112291907
BaseRepresentation
bin1000110010111101000…
…0011111000101001000
3112110001120202001200111
42030233100133011020
54433441334043440
6153231055244104
713626545544142
oct2145720370510
9473046661614
10151116706120
11590a7493a76
1225354819634
1311333a2c203
147457bdbc92
153de6b654ea
hex232f41f148

151116706120 has 128 divisors (see below), whose sum is σ = 351668822400. Its totient is φ = 58405939200.

The previous prime is 151116706073. The next prime is 151116706121. The reversal of 151116706120 is 21607611151.

It is not an unprimeable number, because it can be changed into a prime (151116706121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79242207 + ... + 79244113.

It is an arithmetic number, because the mean of its divisors is an integer number (2747412675).

Almost surely, 2151116706120 is an apocalyptic number.

151116706120 is a gapful number since it is divisible by the number (10) 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 151116706120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175834411200).

151116706120 is an abundant number, since it is smaller than the sum of its proper divisors (200552116280).

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

151116706120 is a wasteful number, since it uses less digits than its factorization.

151116706120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The spelling of 151116706120 in words is "one hundred fifty-one billion, one hundred sixteen million, seven hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 211 229 328 410 422 458 820 844 916 1055 1145 1640 1688 1832 1907 2110 2290 3814 4220 4580 7628 8440 8651 9160 9389 9535 15256 17302 18778 19070 34604 37556 38140 43255 46945 48319 69208 75112 76280 78187 86510 93890 96638 156374 173020 187780 193276 241595 312748 346040 375560 386552 390935 402377 436703 483190 625496 781870 804754 873406 966380 1563740 1609508 1746812 1932760 1981079 2011885 2183515 3127480 3219016 3493624 3962158 4023770 4367030 7924316 8047540 8734060 9905395 15848632 16095080 16497457 17468120 17904823 19810790 32994914 35809646 39621580 65989828 71619292 79243160 82487285 89524115 92144333 131979656 143238584 164974570 179048230 184288666 329949140 358096460 368577332 460721665 659898280 716192920 737154664 921443330 1842886660 3685773320 3777917653 7555835306 15111670612 18889588265 30223341224 37779176530 75558353060 151116706120