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151197099648 = 2737530310607
BaseRepresentation
bin1000110011010000001…
…1001010011010000000
3112110021012000110212120
42030310003022122000
54434122424142043
6153243050324240
713631543066460
oct2146403123200
9473235013776
10151197099648
1159138903901
1225377729680
131134759974a
147464767ba0
153dedc45983
hex23340ca680

151197099648 has 128 divisors (see below), whose sum is σ = 459121029120. Its totient is φ = 43186953216.

The previous prime is 151197099611. The next prime is 151197099709. The reversal of 151197099648 is 846990791151.

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

It is a junction number, because it is equal to n+sod(n) for n = 151197099591 and 151197099600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14249161 + ... + 14259767.

It is an arithmetic number, because the mean of its divisors is an integer number (3586883040).

Almost surely, 2151197099648 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 151197099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229560514560).

151197099648 is an abundant number, since it is smaller than the sum of its proper divisors (307923929472).

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

151197099648 is a wasteful number, since it uses less digits than its factorization.

151197099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934 (or 15922 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 60.

The spelling of 151197099648 in words is "one hundred fifty-one billion, one hundred ninety-seven million, ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5303 10606 10607 15909 21212 21214 31818 31821 37121 42424 42428 63636 63642 74242 74249 84848 84856 111363 127272 127284 148484 148498 169696 169712 222726 222747 254544 254568 296968 296996 339392 339424 445452 445494 509088 509136 593936 593992 678784 678848 890904 890988 1018176 1018272 1187872 1187984 1357696 1781808 1781976 2036352 2036544 2375744 2375968 3563616 3563952 4073088 4751488 4751936 7127232 7127904 9503872 14254464 14255808 28511616 56248921 112497842 168746763 224995684 337493526 393742447 449991368 674987052 787484894 899982736 1181227341 1349974104 1574969788 1799965472 2362454682 2699948208 3149939576 3599930944 4724909364 5399896416 6299879152 7199861888 9449818728 10799792832 12599758304 18899637456 21599585664 25199516608 37799274912 50399033216 75598549824 151197099648