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154066466640 = 24351078297237
BaseRepresentation
bin1000111101111100010…
…0111011011101010000
3112201200011020102102010
42033133010323131100
510011012003413030
6154435511022520
714062624234062
oct2173704733520
9481604212363
10154066466640
115a38055a789
1225a3866aa40
13116b3ba3338
147657887732
15401aad36b0
hex23df13b750

154066466640 has 160 divisors (see below), whose sum is σ = 482717854080. Its totient is φ = 40645711872.

The previous prime is 154066466599. The next prime is 154066466677. The reversal of 154066466640 is 46664660451.

It is a super-2 number, since 2×1540664666402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 154066466640.

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, 21285102 + ... + 21292338.

It is an arithmetic number, because the mean of its divisors is an integer number (3016986588).

Almost surely, 2154066466640 is an apocalyptic number.

154066466640 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 154066466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241358927040).

154066466640 is an abundant number, since it is smaller than the sum of its proper divisors (328651387440).

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

154066466640 is a wasteful number, since it uses less digits than its factorization.

154066466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 154066466640 in words is "one hundred fifty-four billion, sixty-six million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 829 856 1070 1284 1605 1658 1712 2140 2487 2568 3210 3316 4145 4280 4974 5136 6420 6632 7237 8290 8560 9948 12435 12840 13264 14474 16580 19896 21711 24870 25680 28948 33160 36185 39792 43422 49740 57896 66320 72370 86844 88703 99480 108555 115792 144740 173688 177406 198960 217110 266109 289480 347376 354812 434220 443515 532218 578960 709624 774359 868440 887030 1064436 1330545 1419248 1548718 1736880 1774060 2128872 2323077 2661090 3097436 3548120 3871795 4257744 4646154 5322180 5999473 6194872 7096240 7743590 9292308 10644360 11615385 11998946 12389744 15487180 17998419 18584616 21288720 23230770 23997892 29997365 30974360 35996838 37169232 46461540 47995784 59994730 61948720 71993676 89992095 92923080 95991568 119989460 143987352 179984190 185846160 239978920 287974704 359968380 479957840 641943611 719936760 1283887222 1439873520 1925830833 2567774444 3209718055 3851661666 5135548888 6419436110 7703323332 9629154165 10271097776 12838872220 15406646664 19258308330 25677744440 30813293328 38516616660 51355488880 77033233320 154066466640