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148487979648 = 2731999971949
BaseRepresentation
bin1000101001001010010…
…0101100001010000000
3112012021101022220212210
42022102210230022000
54413100410322043
6152114152422120
713504446000441
oct2122244541200
9465241286783
10148487979648
1157a78658958
12249403a7940
131100523bb68
147288a3d2c8
153ce0ead633
hex229292c280

148487979648 has 128 divisors (see below), whose sum is σ = 397004400000. Its totient is φ = 49172631552.

The previous prime is 148487979631. The next prime is 148487979709. The reversal of 148487979648 is 846979784841.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148487979648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76185778 + ... + 76187726.

It is an arithmetic number, because the mean of its divisors is an integer number (3101596875).

Almost surely, 2148487979648 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 148487979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198502200000).

148487979648 is an abundant number, since it is smaller than the sum of its proper divisors (248516420352).

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

148487979648 is a wasteful number, since it uses less digits than its factorization.

148487979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3150 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 75.

The spelling of 148487979648 in words is "one hundred forty-eight billion, four hundred eighty-seven million, nine hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 997 1194 1592 1949 1994 2388 2991 3184 3898 3988 4776 5847 5982 6368 7796 7976 9552 11694 11964 12736 15592 15952 19104 23388 23928 25472 31184 31904 38208 46776 47856 62368 63808 76416 93552 95712 124736 127616 187104 191424 198403 249472 374208 382848 387851 396806 595209 748416 775702 793612 1163553 1190418 1551404 1587224 1943153 2327106 2380836 3102808 3174448 3886306 4654212 4761672 5829459 6205616 6348896 7772612 9308424 9523344 11658918 12411232 12697792 15545224 18616848 19046688 23317836 24822464 25395584 31090448 37233696 38093376 46635672 49644928 62180896 74467392 76186752 93271344 124361792 148934784 186542688 248723584 373085376 386687447 746170752 773374894 1160062341 1546749788 2320124682 3093499576 4640249364 6186999152 9280498728 12373998304 18560997456 24747996608 37121994912 49495993216 74243989824 148487979648