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97946343680 = 285195968261
BaseRepresentation
bin101101100111000001…
…1101001100100000000
3100100211001022210101112
41123032003221210000
53101043230444210
6112555042022452
710035126120203
oct1331603514400
9310731283345
1097946343680
11385a2180779
1216b96047a28
13930c1c99a3
144a523d993a
152833cc8d05
hex16ce0e9900

97946343680 has 144 divisors (see below), whose sum is σ = 251149550400. Its totient is φ = 36486881280.

The previous prime is 97946343647. The next prime is 97946343701. The reversal of 97946343680 is 8634364979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (59).

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, 1400750 + ... + 1469010.

It is an arithmetic number, because the mean of its divisors is an integer number (1744094100).

Almost surely, 297946343680 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 97946343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125574775200).

97946343680 is an abundant number, since it is smaller than the sum of its proper divisors (153203206720).

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

97946343680 is a wasteful number, since it uses less digits than its factorization.

97946343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68360 (or 68346 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 59.

The spelling of 97946343680 in words is "ninety-seven billion, nine hundred forty-six million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 64 76 80 95 118 128 152 160 190 236 256 295 304 320 380 472 590 608 640 760 944 1121 1180 1216 1280 1520 1888 2242 2360 2432 3040 3776 4484 4720 4864 5605 6080 7552 8968 9440 11210 12160 15104 17936 18880 22420 24320 35872 37760 44840 68261 71744 75520 89680 136522 143488 179360 273044 286976 341305 358720 546088 682610 717440 1092176 1296959 1365220 1434880 2184352 2593918 2730440 4027399 4368704 5187836 5460880 6484795 8054798 8737408 10375672 10921760 12969590 16109596 17474816 20136995 20751344 21843520 25939180 32219192 40273990 41502688 43687040 51878360 64438384 76520581 80547980 83005376 87374080 103756720 128876768 153041162 161095960 166010752 207513440 257753536 306082324 322191920 332021504 382602905 415026880 515507072 612164648 644383840 765205810 830053760 1031014144 1224329296 1288767680 1530411620 1660107520 2448658592 2577535360 3060823240 4897317184 5155070720 6121646480 9794634368 12243292960 19589268736 24486585920 48973171840 97946343680