Search a number
-
+
251552747240220 = 223523964692711707
BaseRepresentation
bin111001001100100100110000…
…001001000011101100011100
31012222200012121110122220011110
4321030210300021003230130
5230432420011243141340
62251001423045022020
7103662041402564646
oct7114446011035434
91188605543586143
10251552747240220
1173174a1493a038
12242687360b4910
13aa49426081aaa
144619309dd7896
151e136e6c05680
hexe4c930243b1c

251552747240220 has 96 divisors (see below), whose sum is σ = 707404350643200. Its totient is φ = 66789709265664.

The previous prime is 251552747240191. The next prime is 251552747240231. The reversal of 251552747240220 is 22042747255152.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 251552747240220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91409607 + ... + 94121313.

It is an arithmetic number, because the mean of its divisors is an integer number (7368795319200).

Almost surely, 2251552747240220 is an apocalyptic number.

251552747240220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251552747240220 is an abundant number, since it is smaller than the sum of its proper divisors (455851603402980).

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

251552747240220 is a wasteful number, since it uses less digits than its factorization.

251552747240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718427 (or 2718425 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 48.

The spelling of 251552747240220 in words is "two hundred fifty-one trillion, five hundred fifty-two billion, seven hundred forty-seven million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 2390 2868 3585 4780 6469 7170 12938 14340 19407 25876 32345 38814 64690 77628 97035 129380 194070 388140 1546091 2711707 3092182 4638273 5423414 6184364 7730455 8135121 9276546 10846828 13558535 15460910 16270242 18553092 23191365 27117070 30921820 32540484 40675605 46382730 54234140 81351210 92765460 162702420 648097973 1296195946 1944293919 2592391892 3240489865 3888587838 6480979730 7777175676 9721469595 12961959460 17542032583 19442939190 35084065166 38885878380 52626097749 70168130332 87710162915 105252195498 175420325830 210504390996 263130488745 350840651660 526260977490 1052521954980 4192545787337 8385091574674 12577637362011 16770183149348 20962728936685 25155274724022 41925457873370 50310549448044 62888186810055 83850915746740 125776373620110 251552747240220