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148223757680 = 24514932293851
BaseRepresentation
bin1000101000001011010…
…0110000110101110000
3112011120222011001110222
42022002310300311300
54412030240221210
6152032033312212
713465060103135
oct2120264606560
9464528131428
10148223757680
11579524a0a99
1224887a05668
1310c92589cbb
14726190058c
153cc7bba655
hex2282d30d70

148223757680 has 80 divisors (see below), whose sum is σ = 347130684000. Its totient is φ = 58858060800.

The previous prime is 148223757659. The next prime is 148223757683. The reversal of 148223757680 is 86757322841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148223757683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38487755 + ... + 38491605.

It is an arithmetic number, because the mean of its divisors is an integer number (4339133550).

Almost surely, 2148223757680 is an apocalyptic number.

148223757680 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 148223757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173565342000).

148223757680 is an abundant number, since it is smaller than the sum of its proper divisors (198906926320).

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

148223757680 is a wasteful number, since it uses less digits than its factorization.

148223757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 148223757680 in words is "one hundred forty-eight billion, two hundred twenty-three million, seven hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 3229 3851 5960 6458 7702 11920 12916 15404 16145 19255 25832 30808 32290 38510 51664 61616 64580 77020 129160 154040 258320 308080 481121 573799 962242 1147598 1924484 2295196 2405605 2868995 3848968 4590392 4811210 5737990 7697936 9180784 9622420 11475980 12434879 19244840 22951960 24869758 38489680 45903920 49739516 62174395 99479032 124348790 198958064 248697580 497395160 994790320 1852796971 3705593942 7411187884 9263984855 14822375768 18527969710 29644751536 37055939420 74111878840 148223757680