Search a number
-
+
212153153148 = 223217379369067
BaseRepresentation
bin1100010110010101010…
…0000011011001111100
3202021121022120211110200
43011211110003121330
511433442201400043
6241243430203500
721220232022246
oct3054524033174
9667538524420
10212153153148
1181a78a19022
12351497b3590
1317010117b61
14a3a81a9096
1557ba3987d3
hex316550367c

212153153148 has 72 divisors (see below), whose sum is σ = 583168268592. Its totient is φ = 64758984192.

The previous prime is 212153153087. The next prime is 212153153203. The reversal of 212153153148 is 841351351212.

212153153148 is a `hidden beast` number, since 2 + 1 + 21 + 5 + 315 + 314 + 8 = 666.

It is a super-3 number, since 3×2121531531483 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4661890 + ... + 4707177.

It is an arithmetic number, because the mean of its divisors is an integer number (8099559286).

Almost surely, 2212153153148 is an apocalyptic number.

It is an amenable number.

212153153148 is an abundant number, since it is smaller than the sum of its proper divisors (371015115444).

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

212153153148 is a wasteful number, since it uses less digits than its factorization.

212153153148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369131 (or 9369126 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 212153153148 in words is "two hundred twelve billion, one hundred fifty-three million, one hundred fifty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 9369067 18738134 28107201 37476268 56214402 84321603 112428804 159274139 168643206 318548278 337286412 346655479 477822417 637096556 693310958 955644834 1039966437 1386621916 1433467251 1911289668 2079932874 2866934502 3119899311 4159865748 5733869004 5893143143 6239798622 11786286286 12479597244 17679429429 23572572572 35358858858 53038288287 70717717716 106076576574 212153153148